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Finding the Third Proportional to 249,464.38 and 516,647.44

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Solution

The third proportional to 249,464.38 and 516,647.44 is: 1,069,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,464.38 : 516,647.44 = 516,647.44 : x
  2. Step 2: Convert to fraction form
    249,464.38/516,647.44 = 516,647.44/x
  3. Step 3: Cross multiply
    249,464.38x = 516,647.44 × 516,647.44
  4. Step 4: Simplify right side
    249,464.38x = 266,924,574,675.32
  5. Step 5: Solve for x
    x = 266,924,574,675.32/249,464.38
  6. Step 6: Final answer
    x = 1,069,990.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.