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Finding the Third Proportional to 269,195,061.75 and 584,333,014.50

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Solution

The third proportional to 269,195,061.75 and 584,333,014.50 is: 1,268,392,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,195,061.75 : 584,333,014.50 = 584,333,014.50 : x
  2. Step 2: Convert to fraction form
    269,195,061.75/584,333,014.50 = 584,333,014.50/x
  3. Step 3: Cross multiply
    269,195,061.75x = 584,333,014.50 × 584,333,014.50
  4. Step 4: Simplify right side
    269,195,061.75x = 341,445,071,834,657,216
  5. Step 5: Solve for x
    x = 341,445,071,834,657,216/269,195,061.75
  6. Step 6: Final answer
    x = 1,268,392,776.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.