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Finding the Third Proportional to 249,664 and 546,034

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Solution

The third proportional to 249,664 and 546,034 is: 1,194,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,664 : 546,034 = 546,034 : x
  2. Step 2: Convert to fraction form
    249,664/546,034 = 546,034/x
  3. Step 3: Cross multiply
    249,664x = 546,034 × 546,034
  4. Step 4: Simplify right side
    249,664x = 298,153,129,156
  5. Step 5: Solve for x
    x = 298,153,129,156/249,664
  6. Step 6: Final answer
    x = 1,194,217.55

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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.