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Finding the Third Proportional to 272,060 and 583,430

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Solution

The third proportional to 272,060 and 583,430 is: 1,251,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,060 : 583,430 = 583,430 : x
  2. Step 2: Convert to fraction form
    272,060/583,430 = 583,430/x
  3. Step 3: Cross multiply
    272,060x = 583,430 × 583,430
  4. Step 4: Simplify right side
    272,060x = 340,390,564,900
  5. Step 5: Solve for x
    x = 340,390,564,900/272,060
  6. Step 6: Final answer
    x = 1,251,159.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.