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Finding the Third Proportional to 249,280 and 544,248

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Solution

The third proportional to 249,280 and 544,248 is: 1,188,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,280 : 544,248 = 544,248 : x
  2. Step 2: Convert to fraction form
    249,280/544,248 = 544,248/x
  3. Step 3: Cross multiply
    249,280x = 544,248 × 544,248
  4. Step 4: Simplify right side
    249,280x = 296,205,885,504
  5. Step 5: Solve for x
    x = 296,205,885,504/249,280
  6. Step 6: Final answer
    x = 1,188,245.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.