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Finding the Third Proportional to 545,580 and 1,178,275.50

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Solution

The third proportional to 545,580 and 1,178,275.50 is: 2,544,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,580 : 1,178,275.50 = 1,178,275.50 : x
  2. Step 2: Convert to fraction form
    545,580/1,178,275.50 = 1,178,275.50/x
  3. Step 3: Cross multiply
    545,580x = 1,178,275.50 × 1,178,275.50
  4. Step 4: Simplify right side
    545,580x = 1,388,333,153,900.25
  5. Step 5: Solve for x
    x = 1,388,333,153,900.25/545,580
  6. Step 6: Final answer
    x = 2,544,692.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.