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Finding the Third Proportional to 334,397,264 and 516,506,088

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Solution

The third proportional to 334,397,264 and 516,506,088 is: 797,789,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,397,264 : 516,506,088 = 516,506,088 : x
  2. Step 2: Convert to fraction form
    334,397,264/516,506,088 = 516,506,088/x
  3. Step 3: Cross multiply
    334,397,264x = 516,506,088 × 516,506,088
  4. Step 4: Simplify right side
    334,397,264x = 266,778,538,941,063,744
  5. Step 5: Solve for x
    x = 266,778,538,941,063,744/334,397,264
  6. Step 6: Final answer
    x = 797,789,239.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.