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Finding the Third Proportional to 586,781 and 837,523

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Solution

The third proportional to 586,781 and 837,523 is: 1,195,411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,781 : 837,523 = 837,523 : x
  2. Step 2: Convert to fraction form
    586,781/837,523 = 837,523/x
  3. Step 3: Cross multiply
    586,781x = 837,523 × 837,523
  4. Step 4: Simplify right side
    586,781x = 701,444,775,529
  5. Step 5: Solve for x
    x = 701,444,775,529/586,781
  6. Step 6: Final answer
    x = 1,195,411.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.