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Finding the Third Proportional to 467,878.50 and 708,421.50

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Solution

The third proportional to 467,878.50 and 708,421.50 is: 1,072,631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,878.50 : 708,421.50 = 708,421.50 : x
  2. Step 2: Convert to fraction form
    467,878.50/708,421.50 = 708,421.50/x
  3. Step 3: Cross multiply
    467,878.50x = 708,421.50 × 708,421.50
  4. Step 4: Simplify right side
    467,878.50x = 501,861,021,662.25
  5. Step 5: Solve for x
    x = 501,861,021,662.25/467,878.50
  6. Step 6: Final answer
    x = 1,072,631.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.