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Finding the Third Proportional to 480,312 and 753,432

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Solution

The third proportional to 480,312 and 753,432 is: 1,181,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,312 : 753,432 = 753,432 : x
  2. Step 2: Convert to fraction form
    480,312/753,432 = 753,432/x
  3. Step 3: Cross multiply
    480,312x = 753,432 × 753,432
  4. Step 4: Simplify right side
    480,312x = 567,659,778,624
  5. Step 5: Solve for x
    x = 567,659,778,624/480,312
  6. Step 6: Final answer
    x = 1,181,856.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.