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Finding the Third Proportional to 497,131 and 745,750.50

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Solution

The third proportional to 497,131 and 745,750.50 is: 1,118,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,131 : 745,750.50 = 745,750.50 : x
  2. Step 2: Convert to fraction form
    497,131/745,750.50 = 745,750.50/x
  3. Step 3: Cross multiply
    497,131x = 745,750.50 × 745,750.50
  4. Step 4: Simplify right side
    497,131x = 556,143,808,250.25
  5. Step 5: Solve for x
    x = 556,143,808,250.25/497,131
  6. Step 6: Final answer
    x = 1,118,706.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.