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Finding the Third Proportional to 249,786 and 383,031

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Solution

The third proportional to 249,786 and 383,031 is: 587,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,786 : 383,031 = 383,031 : x
  2. Step 2: Convert to fraction form
    249,786/383,031 = 383,031/x
  3. Step 3: Cross multiply
    249,786x = 383,031 × 383,031
  4. Step 4: Simplify right side
    249,786x = 146,712,746,961
  5. Step 5: Solve for x
    x = 146,712,746,961/249,786
  6. Step 6: Final answer
    x = 587,353.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.