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Finding the Third Proportional to 354,535 and 563,770

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Solution

The third proportional to 354,535 and 563,770 is: 896,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,535 : 563,770 = 563,770 : x
  2. Step 2: Convert to fraction form
    354,535/563,770 = 563,770/x
  3. Step 3: Cross multiply
    354,535x = 563,770 × 563,770
  4. Step 4: Simplify right side
    354,535x = 317,836,612,900
  5. Step 5: Solve for x
    x = 317,836,612,900/354,535
  6. Step 6: Final answer
    x = 896,488.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.