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Finding the Third Proportional to 210,443.06 and 460,252.13

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Solution

The third proportional to 210,443.06 and 460,252.13 is: 1,006,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,443.06 : 460,252.13 = 460,252.13 : x
  2. Step 2: Convert to fraction form
    210,443.06/460,252.13 = 460,252.13/x
  3. Step 3: Cross multiply
    210,443.06x = 460,252.13 × 460,252.13
  4. Step 4: Simplify right side
    210,443.06x = 211,832,018,567.02
  5. Step 5: Solve for x
    x = 211,832,018,567.02/210,443.06
  6. Step 6: Final answer
    x = 1,006,600.15

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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.