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Finding the Third Proportional to 411,033 and 614,878.50

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Solution

The third proportional to 411,033 and 614,878.50 is: 919,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,033 : 614,878.50 = 614,878.50 : x
  2. Step 2: Convert to fraction form
    411,033/614,878.50 = 614,878.50/x
  3. Step 3: Cross multiply
    411,033x = 614,878.50 × 614,878.50
  4. Step 4: Simplify right side
    411,033x = 378,075,569,762.25
  5. Step 5: Solve for x
    x = 378,075,569,762.25/411,033
  6. Step 6: Final answer
    x = 919,818.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.