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Finding the Third Proportional to 452,106 and 615,690

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Solution

The third proportional to 452,106 and 615,690 is: 838,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,106 : 615,690 = 615,690 : x
  2. Step 2: Convert to fraction form
    452,106/615,690 = 615,690/x
  3. Step 3: Cross multiply
    452,106x = 615,690 × 615,690
  4. Step 4: Simplify right side
    452,106x = 379,074,176,100
  5. Step 5: Solve for x
    x = 379,074,176,100/452,106
  6. Step 6: Final answer
    x = 838,463.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.