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Finding the Third Proportional to 529,777.13 and 770,050.13

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Solution

The third proportional to 529,777.13 and 770,050.13 is: 1,119,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,777.13 : 770,050.13 = 770,050.13 : x
  2. Step 2: Convert to fraction form
    529,777.13/770,050.13 = 770,050.13/x
  3. Step 3: Cross multiply
    529,777.13x = 770,050.13 × 770,050.13
  4. Step 4: Simplify right side
    529,777.13x = 592,977,195,012.52
  5. Step 5: Solve for x
    x = 592,977,195,012.52/529,777.13
  6. Step 6: Final answer
    x = 1,119,295.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.