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Finding the Third Proportional to 282,699 and 615,260

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Solution

The third proportional to 282,699 and 615,260 is: 1,339,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,699 : 615,260 = 615,260 : x
  2. Step 2: Convert to fraction form
    282,699/615,260 = 615,260/x
  3. Step 3: Cross multiply
    282,699x = 615,260 × 615,260
  4. Step 4: Simplify right side
    282,699x = 378,544,867,600
  5. Step 5: Solve for x
    x = 378,544,867,600/282,699
  6. Step 6: Final answer
    x = 1,339,038.58

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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.