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Finding the Third Proportional to 314,964 and 471,574

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Solution

The third proportional to 314,964 and 471,574 is: 706,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,964 : 471,574 = 471,574 : x
  2. Step 2: Convert to fraction form
    314,964/471,574 = 471,574/x
  3. Step 3: Cross multiply
    314,964x = 471,574 × 471,574
  4. Step 4: Simplify right side
    314,964x = 222,382,037,476
  5. Step 5: Solve for x
    x = 222,382,037,476/314,964
  6. Step 6: Final answer
    x = 706,055.41

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Why These Related Problems?

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