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Finding the Third Proportional to 310,226.63 and 497,733.19

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Solution

The third proportional to 310,226.63 and 497,733.19 is: 798,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,226.63 : 497,733.19 = 497,733.19 : x
  2. Step 2: Convert to fraction form
    310,226.63/497,733.19 = 497,733.19/x
  3. Step 3: Cross multiply
    310,226.63x = 497,733.19 × 497,733.19
  4. Step 4: Simplify right side
    310,226.63x = 247,738,325,938.91
  5. Step 5: Solve for x
    x = 247,738,325,938.91/310,226.63
  6. Step 6: Final answer
    x = 798,572.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.