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Finding the Third Proportional to 374,202 and 713,952

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Solution

The third proportional to 374,202 and 713,952 is: 1,362,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,202 : 713,952 = 713,952 : x
  2. Step 2: Convert to fraction form
    374,202/713,952 = 713,952/x
  3. Step 3: Cross multiply
    374,202x = 713,952 × 713,952
  4. Step 4: Simplify right side
    374,202x = 509,727,458,304
  5. Step 5: Solve for x
    x = 509,727,458,304/374,202
  6. Step 6: Final answer
    x = 1,362,171.92

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.