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Finding the Third Proportional to 467,388 and 700,290

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Solution

The third proportional to 467,388 and 700,290 is: 1,049,248.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,388 : 700,290 = 700,290 : x
  2. Step 2: Convert to fraction form
    467,388/700,290 = 700,290/x
  3. Step 3: Cross multiply
    467,388x = 700,290 × 700,290
  4. Step 4: Simplify right side
    467,388x = 490,406,084,100
  5. Step 5: Solve for x
    x = 490,406,084,100/467,388
  6. Step 6: Final answer
    x = 1,049,248.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.