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Finding the Third Proportional to 563,850 and 824,607

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Solution

The third proportional to 563,850 and 824,607 is: 1,205,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,850 : 824,607 = 824,607 : x
  2. Step 2: Convert to fraction form
    563,850/824,607 = 824,607/x
  3. Step 3: Cross multiply
    563,850x = 824,607 × 824,607
  4. Step 4: Simplify right side
    563,850x = 679,976,704,449
  5. Step 5: Solve for x
    x = 679,976,704,449/563,850
  6. Step 6: Final answer
    x = 1,205,953.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.