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Finding the Third Proportional to 334,624 and 715,776

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Solution

The third proportional to 334,624 and 715,776 is: 1,531,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,624 : 715,776 = 715,776 : x
  2. Step 2: Convert to fraction form
    334,624/715,776 = 715,776/x
  3. Step 3: Cross multiply
    334,624x = 715,776 × 715,776
  4. Step 4: Simplify right side
    334,624x = 512,335,282,176
  5. Step 5: Solve for x
    x = 512,335,282,176/334,624
  6. Step 6: Final answer
    x = 1,531,077.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.