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Finding the Third Proportional to 369,258,669 and 584,711,703

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Solution

The third proportional to 369,258,669 and 584,711,703 is: 925,876,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,258,669 : 584,711,703 = 584,711,703 : x
  2. Step 2: Convert to fraction form
    369,258,669/584,711,703 = 584,711,703/x
  3. Step 3: Cross multiply
    369,258,669x = 584,711,703 × 584,711,703
  4. Step 4: Simplify right side
    369,258,669x = 341,887,775,625,160,192
  5. Step 5: Solve for x
    x = 341,887,775,625,160,192/369,258,669
  6. Step 6: Final answer
    x = 925,876,098.05

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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.