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Finding the Third Proportional to 200,466 and 432,032

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Solution

The third proportional to 200,466 and 432,032 is: 931,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,466 : 432,032 = 432,032 : x
  2. Step 2: Convert to fraction form
    200,466/432,032 = 432,032/x
  3. Step 3: Cross multiply
    200,466x = 432,032 × 432,032
  4. Step 4: Simplify right side
    200,466x = 186,651,649,024
  5. Step 5: Solve for x
    x = 186,651,649,024/200,466
  6. Step 6: Final answer
    x = 931,088.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.