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Finding the Third Proportional to 584,264 and 874,061

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Solution

The third proportional to 584,264 and 874,061 is: 1,307,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,264 : 874,061 = 874,061 : x
  2. Step 2: Convert to fraction form
    584,264/874,061 = 874,061/x
  3. Step 3: Cross multiply
    584,264x = 874,061 × 874,061
  4. Step 4: Simplify right side
    584,264x = 763,982,631,721
  5. Step 5: Solve for x
    x = 763,982,631,721/584,264
  6. Step 6: Final answer
    x = 1,307,598.33

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