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Finding the Third Proportional to 590,984 and 865,511

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Solution

The third proportional to 590,984 and 865,511 is: 1,267,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,984 : 865,511 = 865,511 : x
  2. Step 2: Convert to fraction form
    590,984/865,511 = 865,511/x
  3. Step 3: Cross multiply
    590,984x = 865,511 × 865,511
  4. Step 4: Simplify right side
    590,984x = 749,109,291,121
  5. Step 5: Solve for x
    x = 749,109,291,121/590,984
  6. Step 6: Final answer
    x = 1,267,562.73

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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.