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Finding the Third Proportional to 199,897 and 429,437

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Solution

The third proportional to 199,897 and 429,437 is: 922,555.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,897 : 429,437 = 429,437 : x
  2. Step 2: Convert to fraction form
    199,897/429,437 = 429,437/x
  3. Step 3: Cross multiply
    199,897x = 429,437 × 429,437
  4. Step 4: Simplify right side
    199,897x = 184,416,136,969
  5. Step 5: Solve for x
    x = 184,416,136,969/199,897
  6. Step 6: Final answer
    x = 922,555.80

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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.