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Finding the Third Proportional to 417,277.50 and 901,075.50

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Solution

The third proportional to 417,277.50 and 901,075.50 is: 1,945,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,277.50 : 901,075.50 = 901,075.50 : x
  2. Step 2: Convert to fraction form
    417,277.50/901,075.50 = 901,075.50/x
  3. Step 3: Cross multiply
    417,277.50x = 901,075.50 × 901,075.50
  4. Step 4: Simplify right side
    417,277.50x = 811,937,056,700.25
  5. Step 5: Solve for x
    x = 811,937,056,700.25/417,277.50
  6. Step 6: Final answer
    x = 1,945,796.40

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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.