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Finding the Third Proportional to 249,409.13 and 548,643.38

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Solution

The third proportional to 249,409.13 and 548,643.38 is: 1,206,890.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,409.13 : 548,643.38 = 548,643.38 : x
  2. Step 2: Convert to fraction form
    249,409.13/548,643.38 = 548,643.38/x
  3. Step 3: Cross multiply
    249,409.13x = 548,643.38 × 548,643.38
  4. Step 4: Simplify right side
    249,409.13x = 301,009,552,931.39
  5. Step 5: Solve for x
    x = 301,009,552,931.39/249,409.13
  6. Step 6: Final answer
    x = 1,206,890.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.