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Finding the Third Proportional to 282,045 and 615,534

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Solution

The third proportional to 282,045 and 615,534 is: 1,343,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,045 : 615,534 = 615,534 : x
  2. Step 2: Convert to fraction form
    282,045/615,534 = 615,534/x
  3. Step 3: Cross multiply
    282,045x = 615,534 × 615,534
  4. Step 4: Simplify right side
    282,045x = 378,882,105,156
  5. Step 5: Solve for x
    x = 378,882,105,156/282,045
  6. Step 6: Final answer
    x = 1,343,339.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.