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Finding the Third Proportional to 506,088.50 and 764,361

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Solution

The third proportional to 506,088.50 and 764,361 is: 1,154,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,088.50 : 764,361 = 764,361 : x
  2. Step 2: Convert to fraction form
    506,088.50/764,361 = 764,361/x
  3. Step 3: Cross multiply
    506,088.50x = 764,361 × 764,361
  4. Step 4: Simplify right side
    506,088.50x = 584,247,738,321
  5. Step 5: Solve for x
    x = 584,247,738,321/506,088.50
  6. Step 6: Final answer
    x = 1,154,437.89

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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.