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Finding the Third Proportional to 590,050.88 and 911,139.75

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Solution

The third proportional to 590,050.88 and 911,139.75 is: 1,406,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,050.88 : 911,139.75 = 911,139.75 : x
  2. Step 2: Convert to fraction form
    590,050.88/911,139.75 = 911,139.75/x
  3. Step 3: Cross multiply
    590,050.88x = 911,139.75 × 911,139.75
  4. Step 4: Simplify right side
    590,050.88x = 830,175,644,030.06
  5. Step 5: Solve for x
    x = 830,175,644,030.06/590,050.88
  6. Step 6: Final answer
    x = 1,406,956.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.