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Finding the Third Proportional to 249,225.75 and 546,698.75

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Solution

The third proportional to 249,225.75 and 546,698.75 is: 1,199,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,225.75 : 546,698.75 = 546,698.75 : x
  2. Step 2: Convert to fraction form
    249,225.75/546,698.75 = 546,698.75/x
  3. Step 3: Cross multiply
    249,225.75x = 546,698.75 × 546,698.75
  4. Step 4: Simplify right side
    249,225.75x = 298,879,523,251.56
  5. Step 5: Solve for x
    x = 298,879,523,251.56/249,225.75
  6. Step 6: Final answer
    x = 1,199,232.11

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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.