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Finding the Third Proportional to 295,602,129 and 415,744,617

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Solution

The third proportional to 295,602,129 and 415,744,617 is: 584,716,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,602,129 : 415,744,617 = 415,744,617 : x
  2. Step 2: Convert to fraction form
    295,602,129/415,744,617 = 415,744,617/x
  3. Step 3: Cross multiply
    295,602,129x = 415,744,617 × 415,744,617
  4. Step 4: Simplify right side
    295,602,129x = 172,843,586,564,476,704
  5. Step 5: Solve for x
    x = 172,843,586,564,476,704/295,602,129
  6. Step 6: Final answer
    x = 584,716,988.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.