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Finding the Third Proportional to 349,560 and 534,528

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Solution

The third proportional to 349,560 and 534,528 is: 817,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,560 : 534,528 = 534,528 : x
  2. Step 2: Convert to fraction form
    349,560/534,528 = 534,528/x
  3. Step 3: Cross multiply
    349,560x = 534,528 × 534,528
  4. Step 4: Simplify right side
    349,560x = 285,720,182,784
  5. Step 5: Solve for x
    x = 285,720,182,784/349,560
  6. Step 6: Final answer
    x = 817,370.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.