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Finding the Third Proportional to 326,071.83 and 498,803.06

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Solution

The third proportional to 326,071.83 and 498,803.06 is: 763,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,071.83 : 498,803.06 = 498,803.06 : x
  2. Step 2: Convert to fraction form
    326,071.83/498,803.06 = 498,803.06/x
  3. Step 3: Cross multiply
    326,071.83x = 498,803.06 × 498,803.06
  4. Step 4: Simplify right side
    326,071.83x = 248,804,495,159.38
  5. Step 5: Solve for x
    x = 248,804,495,159.38/326,071.83
  6. Step 6: Final answer
    x = 763,035.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.