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Finding the Third Proportional to 524,952 and 789,430.50

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Solution

The third proportional to 524,952 and 789,430.50 is: 1,187,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,952 : 789,430.50 = 789,430.50 : x
  2. Step 2: Convert to fraction form
    524,952/789,430.50 = 789,430.50/x
  3. Step 3: Cross multiply
    524,952x = 789,430.50 × 789,430.50
  4. Step 4: Simplify right side
    524,952x = 623,200,514,330.25
  5. Step 5: Solve for x
    x = 623,200,514,330.25/524,952
  6. Step 6: Final answer
    x = 1,187,157.14

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Why These Related Problems?

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