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Finding the Third Proportional to 249,567.75 and 546,364.13

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Solution

The third proportional to 249,567.75 and 546,364.13 is: 1,196,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,567.75 : 546,364.13 = 546,364.13 : x
  2. Step 2: Convert to fraction form
    249,567.75/546,364.13 = 546,364.13/x
  3. Step 3: Cross multiply
    249,567.75x = 546,364.13 × 546,364.13
  4. Step 4: Simplify right side
    249,567.75x = 298,513,757,087.02
  5. Step 5: Solve for x
    x = 298,513,757,087.02/249,567.75
  6. Step 6: Final answer
    x = 1,196,123.13

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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.