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Finding the Third Proportional to 249,235.88 and 546,724.13

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Solution

The third proportional to 249,235.88 and 546,724.13 is: 1,199,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,235.88 : 546,724.13 = 546,724.13 : x
  2. Step 2: Convert to fraction form
    249,235.88/546,724.13 = 546,724.13/x
  3. Step 3: Cross multiply
    249,235.88x = 546,724.13 × 546,724.13
  4. Step 4: Simplify right side
    249,235.88x = 298,907,268,857.02
  5. Step 5: Solve for x
    x = 298,907,268,857.02/249,235.88
  6. Step 6: Final answer
    x = 1,199,294.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.