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Finding the Third Proportional to 545,127 and 812,363.25

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Solution

The third proportional to 545,127 and 812,363.25 is: 1,210,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,127 : 812,363.25 = 812,363.25 : x
  2. Step 2: Convert to fraction form
    545,127/812,363.25 = 812,363.25/x
  3. Step 3: Cross multiply
    545,127x = 812,363.25 × 812,363.25
  4. Step 4: Simplify right side
    545,127x = 659,934,049,950.56
  5. Step 5: Solve for x
    x = 659,934,049,950.56/545,127
  6. Step 6: Final answer
    x = 1,210,606.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.