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Finding the Third Proportional to 448,515 and 695,191.50

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Solution

The third proportional to 448,515 and 695,191.50 is: 1,077,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,515 : 695,191.50 = 695,191.50 : x
  2. Step 2: Convert to fraction form
    448,515/695,191.50 = 695,191.50/x
  3. Step 3: Cross multiply
    448,515x = 695,191.50 × 695,191.50
  4. Step 4: Simplify right side
    448,515x = 483,291,221,672.25
  5. Step 5: Solve for x
    x = 483,291,221,672.25/448,515
  6. Step 6: Final answer
    x = 1,077,536.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.