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Finding the Third Proportional to 249,806 and 383,029

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Solution

The third proportional to 249,806 and 383,029 is: 587,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,806 : 383,029 = 383,029 : x
  2. Step 2: Convert to fraction form
    249,806/383,029 = 383,029/x
  3. Step 3: Cross multiply
    249,806x = 383,029 × 383,029
  4. Step 4: Simplify right side
    249,806x = 146,711,214,841
  5. Step 5: Solve for x
    x = 146,711,214,841/249,806
  6. Step 6: Final answer
    x = 587,300.60

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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.