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Finding the Third Proportional to 562,966.50 and 829,566

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Solution

The third proportional to 562,966.50 and 829,566 is: 1,222,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,966.50 : 829,566 = 829,566 : x
  2. Step 2: Convert to fraction form
    562,966.50/829,566 = 829,566/x
  3. Step 3: Cross multiply
    562,966.50x = 829,566 × 829,566
  4. Step 4: Simplify right side
    562,966.50x = 688,179,748,356
  5. Step 5: Solve for x
    x = 688,179,748,356/562,966.50
  6. Step 6: Final answer
    x = 1,222,416.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.