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Finding the Third Proportional to 470,239 and 704,262

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Solution

The third proportional to 470,239 and 704,262 is: 1,054,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,239 : 704,262 = 704,262 : x
  2. Step 2: Convert to fraction form
    470,239/704,262 = 704,262/x
  3. Step 3: Cross multiply
    470,239x = 704,262 × 704,262
  4. Step 4: Simplify right side
    470,239x = 495,984,964,644
  5. Step 5: Solve for x
    x = 495,984,964,644/470,239
  6. Step 6: Final answer
    x = 1,054,750.81

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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.