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Finding the Third Proportional to 357,607.13 and 540,055.13

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Solution

The third proportional to 357,607.13 and 540,055.13 is: 815,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,607.13 : 540,055.13 = 540,055.13 : x
  2. Step 2: Convert to fraction form
    357,607.13/540,055.13 = 540,055.13/x
  3. Step 3: Cross multiply
    357,607.13x = 540,055.13 × 540,055.13
  4. Step 4: Simplify right side
    357,607.13x = 291,659,538,038.77
  5. Step 5: Solve for x
    x = 291,659,538,038.77/357,607.13
  6. Step 6: Final answer
    x = 815,586.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.