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Finding the Third Proportional to 342,663.75 and 502,303.50

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Solution

The third proportional to 342,663.75 and 502,303.50 is: 736,316.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,663.75 : 502,303.50 = 502,303.50 : x
  2. Step 2: Convert to fraction form
    342,663.75/502,303.50 = 502,303.50/x
  3. Step 3: Cross multiply
    342,663.75x = 502,303.50 × 502,303.50
  4. Step 4: Simplify right side
    342,663.75x = 252,308,806,112.25
  5. Step 5: Solve for x
    x = 252,308,806,112.25/342,663.75
  6. Step 6: Final answer
    x = 736,316.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.