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Finding the Third Proportional to 272,720 and 596,480

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Solution

The third proportional to 272,720 and 596,480 is: 1,304,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,720 : 596,480 = 596,480 : x
  2. Step 2: Convert to fraction form
    272,720/596,480 = 596,480/x
  3. Step 3: Cross multiply
    272,720x = 596,480 × 596,480
  4. Step 4: Simplify right side
    272,720x = 355,788,390,400
  5. Step 5: Solve for x
    x = 355,788,390,400/272,720
  6. Step 6: Final answer
    x = 1,304,592.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.