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Finding the Third Proportional to 235,428 and 580,501.50

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Solution

The third proportional to 235,428 and 580,501.50 is: 1,431,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,428 : 580,501.50 = 580,501.50 : x
  2. Step 2: Convert to fraction form
    235,428/580,501.50 = 580,501.50/x
  3. Step 3: Cross multiply
    235,428x = 580,501.50 × 580,501.50
  4. Step 4: Simplify right side
    235,428x = 336,981,991,502.25
  5. Step 5: Solve for x
    x = 336,981,991,502.25/235,428
  6. Step 6: Final answer
    x = 1,431,359.02

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.