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Finding the Third Proportional to 575,984.50 and 775,387.50

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Solution

The third proportional to 575,984.50 and 775,387.50 is: 1,043,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,984.50 : 775,387.50 = 775,387.50 : x
  2. Step 2: Convert to fraction form
    575,984.50/775,387.50 = 775,387.50/x
  3. Step 3: Cross multiply
    575,984.50x = 775,387.50 × 775,387.50
  4. Step 4: Simplify right side
    575,984.50x = 601,225,775,156.25
  5. Step 5: Solve for x
    x = 601,225,775,156.25/575,984.50
  6. Step 6: Final answer
    x = 1,043,822.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.