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Finding the Third Proportional to 590,053.50 and 911,143.50

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Solution

The third proportional to 590,053.50 and 911,143.50 is: 1,406,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,053.50 : 911,143.50 = 911,143.50 : x
  2. Step 2: Convert to fraction form
    590,053.50/911,143.50 = 911,143.50/x
  3. Step 3: Cross multiply
    590,053.50x = 911,143.50 × 911,143.50
  4. Step 4: Simplify right side
    590,053.50x = 830,182,477,592.25
  5. Step 5: Solve for x
    x = 830,182,477,592.25/590,053.50
  6. Step 6: Final answer
    x = 1,406,961.36

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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.