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Finding the Third Proportional to 249,550 and 536,454

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Solution

The third proportional to 249,550 and 536,454 is: 1,153,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,550 : 536,454 = 536,454 : x
  2. Step 2: Convert to fraction form
    249,550/536,454 = 536,454/x
  3. Step 3: Cross multiply
    249,550x = 536,454 × 536,454
  4. Step 4: Simplify right side
    249,550x = 287,782,894,116
  5. Step 5: Solve for x
    x = 287,782,894,116/249,550
  6. Step 6: Final answer
    x = 1,153,207.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.