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Finding the Third Proportional to 575,938 and 775,326.50

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Solution

The third proportional to 575,938 and 775,326.50 is: 1,043,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,938 : 775,326.50 = 775,326.50 : x
  2. Step 2: Convert to fraction form
    575,938/775,326.50 = 775,326.50/x
  3. Step 3: Cross multiply
    575,938x = 775,326.50 × 775,326.50
  4. Step 4: Simplify right side
    575,938x = 601,131,181,602.25
  5. Step 5: Solve for x
    x = 601,131,181,602.25/575,938
  6. Step 6: Final answer
    x = 1,043,742.87

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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.