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Finding the Third Proportional to 321,050 and 476,952

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Solution

The third proportional to 321,050 and 476,952 is: 708,560.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,050 : 476,952 = 476,952 : x
  2. Step 2: Convert to fraction form
    321,050/476,952 = 476,952/x
  3. Step 3: Cross multiply
    321,050x = 476,952 × 476,952
  4. Step 4: Simplify right side
    321,050x = 227,483,210,304
  5. Step 5: Solve for x
    x = 227,483,210,304/321,050
  6. Step 6: Final answer
    x = 708,560.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.