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Finding the Third Proportional to 765,477 and 1,126,069.50

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Solution

The third proportional to 765,477 and 1,126,069.50 is: 1,656,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,477 : 1,126,069.50 = 1,126,069.50 : x
  2. Step 2: Convert to fraction form
    765,477/1,126,069.50 = 1,126,069.50/x
  3. Step 3: Cross multiply
    765,477x = 1,126,069.50 × 1,126,069.50
  4. Step 4: Simplify right side
    765,477x = 1,268,032,518,830.25
  5. Step 5: Solve for x
    x = 1,268,032,518,830.25/765,477
  6. Step 6: Final answer
    x = 1,656,525.96

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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.