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Finding the Third Proportional to 478,423 and 1,025,533.50

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Solution

The third proportional to 478,423 and 1,025,533.50 is: 2,198,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,423 : 1,025,533.50 = 1,025,533.50 : x
  2. Step 2: Convert to fraction form
    478,423/1,025,533.50 = 1,025,533.50/x
  3. Step 3: Cross multiply
    478,423x = 1,025,533.50 × 1,025,533.50
  4. Step 4: Simplify right side
    478,423x = 1,051,718,959,622.25
  5. Step 5: Solve for x
    x = 1,051,718,959,622.25/478,423
  6. Step 6: Final answer
    x = 2,198,303.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.