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Finding the Third Proportional to 581,260 and 872,466

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Solution

The third proportional to 581,260 and 872,466 is: 1,309,563.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,260 : 872,466 = 872,466 : x
  2. Step 2: Convert to fraction form
    581,260/872,466 = 872,466/x
  3. Step 3: Cross multiply
    581,260x = 872,466 × 872,466
  4. Step 4: Simplify right side
    581,260x = 761,196,921,156
  5. Step 5: Solve for x
    x = 761,196,921,156/581,260
  6. Step 6: Final answer
    x = 1,309,563.57

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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.