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Finding the Third Proportional to 292,514.63 and 449,416.13

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Solution

The third proportional to 292,514.63 and 449,416.13 is: 690,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,514.63 : 449,416.13 = 449,416.13 : x
  2. Step 2: Convert to fraction form
    292,514.63/449,416.13 = 449,416.13/x
  3. Step 3: Cross multiply
    292,514.63x = 449,416.13 × 449,416.13
  4. Step 4: Simplify right side
    292,514.63x = 201,974,853,410.02
  5. Step 5: Solve for x
    x = 201,974,853,410.02/292,514.63
  6. Step 6: Final answer
    x = 690,477.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.