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Finding the Third Proportional to 272,943 and 592,506

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Solution

The third proportional to 272,943 and 592,506 is: 1,286,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,943 : 592,506 = 592,506 : x
  2. Step 2: Convert to fraction form
    272,943/592,506 = 592,506/x
  3. Step 3: Cross multiply
    272,943x = 592,506 × 592,506
  4. Step 4: Simplify right side
    272,943x = 351,063,360,036
  5. Step 5: Solve for x
    x = 351,063,360,036/272,943
  6. Step 6: Final answer
    x = 1,286,214.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.