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Finding the Third Proportional to 340,748 and 534,566

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Solution

The third proportional to 340,748 and 534,566 is: 838,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,748 : 534,566 = 534,566 : x
  2. Step 2: Convert to fraction form
    340,748/534,566 = 534,566/x
  3. Step 3: Cross multiply
    340,748x = 534,566 × 534,566
  4. Step 4: Simplify right side
    340,748x = 285,760,808,356
  5. Step 5: Solve for x
    x = 285,760,808,356/340,748
  6. Step 6: Final answer
    x = 838,627.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.