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Finding the Third Proportional to 380,712,666 and 513,670,773

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Solution

The third proportional to 380,712,666 and 513,670,773 is: 693,062,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,712,666 : 513,670,773 = 513,670,773 : x
  2. Step 2: Convert to fraction form
    380,712,666/513,670,773 = 513,670,773/x
  3. Step 3: Cross multiply
    380,712,666x = 513,670,773 × 513,670,773
  4. Step 4: Simplify right side
    380,712,666x = 263,857,663,034,417,536
  5. Step 5: Solve for x
    x = 263,857,663,034,417,536/380,712,666
  6. Step 6: Final answer
    x = 693,062,476.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.