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Finding the Third Proportional to 369,258,671 and 584,711,706

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Solution

The third proportional to 369,258,671 and 584,711,706 is: 925,876,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,258,671 : 584,711,706 = 584,711,706 : x
  2. Step 2: Convert to fraction form
    369,258,671/584,711,706 = 584,711,706/x
  3. Step 3: Cross multiply
    369,258,671x = 584,711,706 × 584,711,706
  4. Step 4: Simplify right side
    369,258,671x = 341,887,779,133,430,464
  5. Step 5: Solve for x
    x = 341,887,779,133,430,464/369,258,671
  6. Step 6: Final answer
    x = 925,876,102.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.