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Finding the Third Proportional to 478,792.50 and 723,899.25

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Solution

The third proportional to 478,792.50 and 723,899.25 is: 1,094,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,792.50 : 723,899.25 = 723,899.25 : x
  2. Step 2: Convert to fraction form
    478,792.50/723,899.25 = 723,899.25/x
  3. Step 3: Cross multiply
    478,792.50x = 723,899.25 × 723,899.25
  4. Step 4: Simplify right side
    478,792.50x = 524,030,124,150.56
  5. Step 5: Solve for x
    x = 524,030,124,150.56/478,792.50
  6. Step 6: Final answer
    x = 1,094,482.73

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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.