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Finding the Third Proportional to 316,740 and 704,310

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Solution

The third proportional to 316,740 and 704,310 is: 1,566,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,740 : 704,310 = 704,310 : x
  2. Step 2: Convert to fraction form
    316,740/704,310 = 704,310/x
  3. Step 3: Cross multiply
    316,740x = 704,310 × 704,310
  4. Step 4: Simplify right side
    316,740x = 496,052,576,100
  5. Step 5: Solve for x
    x = 496,052,576,100/316,740
  6. Step 6: Final answer
    x = 1,566,119.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.