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Finding the Third Proportional to 249,875 and 546,350

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Solution

The third proportional to 249,875 and 546,350 is: 1,194,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,875 : 546,350 = 546,350 : x
  2. Step 2: Convert to fraction form
    249,875/546,350 = 546,350/x
  3. Step 3: Cross multiply
    249,875x = 546,350 × 546,350
  4. Step 4: Simplify right side
    249,875x = 298,498,322,500
  5. Step 5: Solve for x
    x = 298,498,322,500/249,875
  6. Step 6: Final answer
    x = 1,194,590.59

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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.