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Finding the Third Proportional to 242,352 and 514,272

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Solution

The third proportional to 242,352 and 514,272 is: 1,091,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,352 : 514,272 = 514,272 : x
  2. Step 2: Convert to fraction form
    242,352/514,272 = 514,272/x
  3. Step 3: Cross multiply
    242,352x = 514,272 × 514,272
  4. Step 4: Simplify right side
    242,352x = 264,475,689,984
  5. Step 5: Solve for x
    x = 264,475,689,984/242,352
  6. Step 6: Final answer
    x = 1,091,287.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.