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Finding the Third Proportional to 295,128 and 453,432

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Solution

The third proportional to 295,128 and 453,432 is: 696,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,128 : 453,432 = 453,432 : x
  2. Step 2: Convert to fraction form
    295,128/453,432 = 453,432/x
  3. Step 3: Cross multiply
    295,128x = 453,432 × 453,432
  4. Step 4: Simplify right side
    295,128x = 205,600,578,624
  5. Step 5: Solve for x
    x = 205,600,578,624/295,128
  6. Step 6: Final answer
    x = 696,648.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.