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Finding the Third Proportional to 584,359 and 876,537

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Solution

The third proportional to 584,359 and 876,537 is: 1,314,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,359 : 876,537 = 876,537 : x
  2. Step 2: Convert to fraction form
    584,359/876,537 = 876,537/x
  3. Step 3: Cross multiply
    584,359x = 876,537 × 876,537
  4. Step 4: Simplify right side
    584,359x = 768,317,112,369
  5. Step 5: Solve for x
    x = 768,317,112,369/584,359
  6. Step 6: Final answer
    x = 1,314,803.25

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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.