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Finding the Third Proportional to 205,428 and 450,072

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Solution

The third proportional to 205,428 and 450,072 is: 986,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,428 : 450,072 = 450,072 : x
  2. Step 2: Convert to fraction form
    205,428/450,072 = 450,072/x
  3. Step 3: Cross multiply
    205,428x = 450,072 × 450,072
  4. Step 4: Simplify right side
    205,428x = 202,564,805,184
  5. Step 5: Solve for x
    x = 202,564,805,184/205,428
  6. Step 6: Final answer
    x = 986,062.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.