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Finding the Third Proportional to 286,547.50 and 615,381.50

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Solution

The third proportional to 286,547.50 and 615,381.50 is: 1,321,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,547.50 : 615,381.50 = 615,381.50 : x
  2. Step 2: Convert to fraction form
    286,547.50/615,381.50 = 615,381.50/x
  3. Step 3: Cross multiply
    286,547.50x = 615,381.50 × 615,381.50
  4. Step 4: Simplify right side
    286,547.50x = 378,694,390,542.25
  5. Step 5: Solve for x
    x = 378,694,390,542.25/286,547.50
  6. Step 6: Final answer
    x = 1,321,576.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.