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Finding the Third Proportional to 200,127 and 433,470

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Solution

The third proportional to 200,127 and 433,470 is: 938,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,127 : 433,470 = 433,470 : x
  2. Step 2: Convert to fraction form
    200,127/433,470 = 433,470/x
  3. Step 3: Cross multiply
    200,127x = 433,470 × 433,470
  4. Step 4: Simplify right side
    200,127x = 187,896,240,900
  5. Step 5: Solve for x
    x = 187,896,240,900/200,127
  6. Step 6: Final answer
    x = 938,885.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.