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Finding the Third Proportional to 248,952 and 537,432

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Solution

The third proportional to 248,952 and 537,432 is: 1,160,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,952 : 537,432 = 537,432 : x
  2. Step 2: Convert to fraction form
    248,952/537,432 = 537,432/x
  3. Step 3: Cross multiply
    248,952x = 537,432 × 537,432
  4. Step 4: Simplify right side
    248,952x = 288,833,154,624
  5. Step 5: Solve for x
    x = 288,833,154,624/248,952
  6. Step 6: Final answer
    x = 1,160,196.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.