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Finding the Third Proportional to 302,341.50 and 457,423.88

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Solution

The third proportional to 302,341.50 and 457,423.88 is: 692,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,341.50 : 457,423.88 = 457,423.88 : x
  2. Step 2: Convert to fraction form
    302,341.50/457,423.88 = 457,423.88/x
  3. Step 3: Cross multiply
    302,341.50x = 457,423.88 × 457,423.88
  4. Step 4: Simplify right side
    302,341.50x = 209,236,601,420.02
  5. Step 5: Solve for x
    x = 209,236,601,420.02/302,341.50
  6. Step 6: Final answer
    x = 692,053.86

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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.