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Finding the Third Proportional to 200,889 and 432,528

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Solution

The third proportional to 200,889 and 432,528 is: 931,262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,889 : 432,528 = 432,528 : x
  2. Step 2: Convert to fraction form
    200,889/432,528 = 432,528/x
  3. Step 3: Cross multiply
    200,889x = 432,528 × 432,528
  4. Step 4: Simplify right side
    200,889x = 187,080,470,784
  5. Step 5: Solve for x
    x = 187,080,470,784/200,889
  6. Step 6: Final answer
    x = 931,262.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.