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Finding the Third Proportional to 326,359.50 and 506,397

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Solution

The third proportional to 326,359.50 and 506,397 is: 785,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,359.50 : 506,397 = 506,397 : x
  2. Step 2: Convert to fraction form
    326,359.50/506,397 = 506,397/x
  3. Step 3: Cross multiply
    326,359.50x = 506,397 × 506,397
  4. Step 4: Simplify right side
    326,359.50x = 256,437,921,609
  5. Step 5: Solve for x
    x = 256,437,921,609/326,359.50
  6. Step 6: Final answer
    x = 785,752.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.