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Finding the Third Proportional to 249,135.75 and 584,885.81

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Solution

The third proportional to 249,135.75 and 584,885.81 is: 1,373,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,135.75 : 584,885.81 = 584,885.81 : x
  2. Step 2: Convert to fraction form
    249,135.75/584,885.81 = 584,885.81/x
  3. Step 3: Cross multiply
    249,135.75x = 584,885.81 × 584,885.81
  4. Step 4: Simplify right side
    249,135.75x = 342,091,413,663.79
  5. Step 5: Solve for x
    x = 342,091,413,663.79/249,135.75
  6. Step 6: Final answer
    x = 1,373,112.50

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.