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Finding the Third Proportional to 357,959.25 and 779,827.50

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Solution

The third proportional to 357,959.25 and 779,827.50 is: 1,698,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,959.25 : 779,827.50 = 779,827.50 : x
  2. Step 2: Convert to fraction form
    357,959.25/779,827.50 = 779,827.50/x
  3. Step 3: Cross multiply
    357,959.25x = 779,827.50 × 779,827.50
  4. Step 4: Simplify right side
    357,959.25x = 608,130,929,756.25
  5. Step 5: Solve for x
    x = 608,130,929,756.25/357,959.25
  6. Step 6: Final answer
    x = 1,698,883.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.