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Finding the Third Proportional to 470,265 and 672,214.50

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Solution

The third proportional to 470,265 and 672,214.50 is: 960,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,265 : 672,214.50 = 672,214.50 : x
  2. Step 2: Convert to fraction form
    470,265/672,214.50 = 672,214.50/x
  3. Step 3: Cross multiply
    470,265x = 672,214.50 × 672,214.50
  4. Step 4: Simplify right side
    470,265x = 451,872,334,010.25
  5. Step 5: Solve for x
    x = 451,872,334,010.25/470,265
  6. Step 6: Final answer
    x = 960,888.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.