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Finding the Third Proportional to 249,220 and 538,280

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Solution

The third proportional to 249,220 and 538,280 is: 1,162,608.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,220 : 538,280 = 538,280 : x
  2. Step 2: Convert to fraction form
    249,220/538,280 = 538,280/x
  3. Step 3: Cross multiply
    249,220x = 538,280 × 538,280
  4. Step 4: Simplify right side
    249,220x = 289,745,358,400
  5. Step 5: Solve for x
    x = 289,745,358,400/249,220
  6. Step 6: Final answer
    x = 1,162,608.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.