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Finding the Third Proportional to 584,363 and 876,545

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Solution

The third proportional to 584,363 and 876,545 is: 1,314,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,363 : 876,545 = 876,545 : x
  2. Step 2: Convert to fraction form
    584,363/876,545 = 876,545/x
  3. Step 3: Cross multiply
    584,363x = 876,545 × 876,545
  4. Step 4: Simplify right side
    584,363x = 768,331,137,025
  5. Step 5: Solve for x
    x = 768,331,137,025/584,363
  6. Step 6: Final answer
    x = 1,314,818.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.