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Finding the Third Proportional to 200,725 and 432,783

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Solution

The third proportional to 200,725 and 432,783 is: 933,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725 : 432,783 = 432,783 : x
  2. Step 2: Convert to fraction form
    200,725/432,783 = 432,783/x
  3. Step 3: Cross multiply
    200,725x = 432,783 × 432,783
  4. Step 4: Simplify right side
    200,725x = 187,301,125,089
  5. Step 5: Solve for x
    x = 187,301,125,089/200,725
  6. Step 6: Final answer
    x = 933,123.05

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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.