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Finding the Third Proportional to 249,408 and 538,752

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Solution

The third proportional to 249,408 and 538,752 is: 1,163,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,408 : 538,752 = 538,752 : x
  2. Step 2: Convert to fraction form
    249,408/538,752 = 538,752/x
  3. Step 3: Cross multiply
    249,408x = 538,752 × 538,752
  4. Step 4: Simplify right side
    249,408x = 290,253,717,504
  5. Step 5: Solve for x
    x = 290,253,717,504/249,408
  6. Step 6: Final answer
    x = 1,163,770.68

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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.