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Finding the Third Proportional to 575,957 and 775,351.50

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Solution

The third proportional to 575,957 and 775,351.50 is: 1,043,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,957 : 775,351.50 = 775,351.50 : x
  2. Step 2: Convert to fraction form
    575,957/775,351.50 = 775,351.50/x
  3. Step 3: Cross multiply
    575,957x = 775,351.50 × 775,351.50
  4. Step 4: Simplify right side
    575,957x = 601,169,948,552.25
  5. Step 5: Solve for x
    x = 601,169,948,552.25/575,957
  6. Step 6: Final answer
    x = 1,043,775.75

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