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Finding the Third Proportional to 563,868 and 872,514

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Solution

The third proportional to 563,868 and 872,514 is: 1,350,104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,868 : 872,514 = 872,514 : x
  2. Step 2: Convert to fraction form
    563,868/872,514 = 872,514/x
  3. Step 3: Cross multiply
    563,868x = 872,514 × 872,514
  4. Step 4: Simplify right side
    563,868x = 761,280,680,196
  5. Step 5: Solve for x
    x = 761,280,680,196/563,868
  6. Step 6: Final answer
    x = 1,350,104.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.