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Finding the Third Proportional to 575,983 and 775,385.50

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Solution

The third proportional to 575,983 and 775,385.50 is: 1,043,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,983 : 775,385.50 = 775,385.50 : x
  2. Step 2: Convert to fraction form
    575,983/775,385.50 = 775,385.50/x
  3. Step 3: Cross multiply
    575,983x = 775,385.50 × 775,385.50
  4. Step 4: Simplify right side
    575,983x = 601,222,673,610.25
  5. Step 5: Solve for x
    x = 601,222,673,610.25/575,983
  6. Step 6: Final answer
    x = 1,043,820.17

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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.