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Finding the Third Proportional to 249,596 and 377,580

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Solution

The third proportional to 249,596 and 377,580 is: 571,189.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,596 : 377,580 = 377,580 : x
  2. Step 2: Convert to fraction form
    249,596/377,580 = 377,580/x
  3. Step 3: Cross multiply
    249,596x = 377,580 × 377,580
  4. Step 4: Simplify right side
    249,596x = 142,566,656,400
  5. Step 5: Solve for x
    x = 142,566,656,400/249,596
  6. Step 6: Final answer
    x = 571,189.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.