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Finding the Third Proportional to 475,693.25 and 652,303.75

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Solution

The third proportional to 475,693.25 and 652,303.75 is: 894,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,693.25 : 652,303.75 = 652,303.75 : x
  2. Step 2: Convert to fraction form
    475,693.25/652,303.75 = 652,303.75/x
  3. Step 3: Cross multiply
    475,693.25x = 652,303.75 × 652,303.75
  4. Step 4: Simplify right side
    475,693.25x = 425,500,182,264.06
  5. Step 5: Solve for x
    x = 425,500,182,264.06/475,693.25
  6. Step 6: Final answer
    x = 894,484.38

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.