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Finding the Third Proportional to 590,959 and 865,477

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Solution

The third proportional to 590,959 and 865,477 is: 1,267,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,959 : 865,477 = 865,477 : x
  2. Step 2: Convert to fraction form
    590,959/865,477 = 865,477/x
  3. Step 3: Cross multiply
    590,959x = 865,477 × 865,477
  4. Step 4: Simplify right side
    590,959x = 749,050,437,529
  5. Step 5: Solve for x
    x = 749,050,437,529/590,959
  6. Step 6: Final answer
    x = 1,267,516.76

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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.