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Finding the Third Proportional to 581,178 and 872,361

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Solution

The third proportional to 581,178 and 872,361 is: 1,309,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,178 : 872,361 = 872,361 : x
  2. Step 2: Convert to fraction form
    581,178/872,361 = 872,361/x
  3. Step 3: Cross multiply
    581,178x = 872,361 × 872,361
  4. Step 4: Simplify right side
    581,178x = 761,013,714,321
  5. Step 5: Solve for x
    x = 761,013,714,321/581,178
  6. Step 6: Final answer
    x = 1,309,433.11

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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.