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Finding the Third Proportional to 545,113.13 and 763,867.13

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Solution

The third proportional to 545,113.13 and 763,867.13 is: 1,070,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,113.13 : 763,867.13 = 763,867.13 : x
  2. Step 2: Convert to fraction form
    545,113.13/763,867.13 = 763,867.13/x
  3. Step 3: Cross multiply
    545,113.13x = 763,867.13 × 763,867.13
  4. Step 4: Simplify right side
    545,113.13x = 583,492,984,655.77
  5. Step 5: Solve for x
    x = 583,492,984,655.77/545,113.13
  6. Step 6: Final answer
    x = 1,070,407.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.