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Finding the Third Proportional to 249,243 and 540,552

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Solution

The third proportional to 249,243 and 540,552 is: 1,172,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,243 : 540,552 = 540,552 : x
  2. Step 2: Convert to fraction form
    249,243/540,552 = 540,552/x
  3. Step 3: Cross multiply
    249,243x = 540,552 × 540,552
  4. Step 4: Simplify right side
    249,243x = 292,196,464,704
  5. Step 5: Solve for x
    x = 292,196,464,704/249,243
  6. Step 6: Final answer
    x = 1,172,335.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.