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Finding the Third Proportional to 200,454 and 432,008

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Solution

The third proportional to 200,454 and 432,008 is: 931,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,454 : 432,008 = 432,008 : x
  2. Step 2: Convert to fraction form
    200,454/432,008 = 432,008/x
  3. Step 3: Cross multiply
    200,454x = 432,008 × 432,008
  4. Step 4: Simplify right side
    200,454x = 186,630,912,064
  5. Step 5: Solve for x
    x = 186,630,912,064/200,454
  6. Step 6: Final answer
    x = 931,041.10

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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.