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Finding the Third Proportional to 287,746.17 and 450,072.07

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Solution

The third proportional to 287,746.17 and 450,072.07 is: 703,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,746.17 : 450,072.07 = 450,072.07 : x
  2. Step 2: Convert to fraction form
    287,746.17/450,072.07 = 450,072.07/x
  3. Step 3: Cross multiply
    287,746.17x = 450,072.07 × 450,072.07
  4. Step 4: Simplify right side
    287,746.17x = 202,564,868,475.38
  5. Step 5: Solve for x
    x = 202,564,868,475.38/287,746.17
  6. Step 6: Final answer
    x = 703,970.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.