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Finding the Third Proportional to 304,727,881 and 464,221,442

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Solution

The third proportional to 304,727,881 and 464,221,442 is: 707,193,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,727,881 : 464,221,442 = 464,221,442 : x
  2. Step 2: Convert to fraction form
    304,727,881/464,221,442 = 464,221,442/x
  3. Step 3: Cross multiply
    304,727,881x = 464,221,442 × 464,221,442
  4. Step 4: Simplify right side
    304,727,881x = 215,501,547,212,559,360
  5. Step 5: Solve for x
    x = 215,501,547,212,559,360/304,727,881
  6. Step 6: Final answer
    x = 707,193,403.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.