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Finding the Third Proportional to 249,268.50 and 531,750.38

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Solution

The third proportional to 249,268.50 and 531,750.38 is: 1,134,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,268.50 : 531,750.38 = 531,750.38 : x
  2. Step 2: Convert to fraction form
    249,268.50/531,750.38 = 531,750.38/x
  3. Step 3: Cross multiply
    249,268.50x = 531,750.38 × 531,750.38
  4. Step 4: Simplify right side
    249,268.50x = 282,758,461,312.64
  5. Step 5: Solve for x
    x = 282,758,461,312.64/249,268.50
  6. Step 6: Final answer
    x = 1,134,352.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.