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Finding the Third Proportional to 460,075.50 and 706,171.50

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Solution

The third proportional to 460,075.50 and 706,171.50 is: 1,083,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,075.50 : 706,171.50 = 706,171.50 : x
  2. Step 2: Convert to fraction form
    460,075.50/706,171.50 = 706,171.50/x
  3. Step 3: Cross multiply
    460,075.50x = 706,171.50 × 706,171.50
  4. Step 4: Simplify right side
    460,075.50x = 498,678,187,412.25
  5. Step 5: Solve for x
    x = 498,678,187,412.25/460,075.50
  6. Step 6: Final answer
    x = 1,083,905.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.