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Finding the Third Proportional to 480,643.50 and 1,037,281.50

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Solution

The third proportional to 480,643.50 and 1,037,281.50 is: 2,238,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,643.50 : 1,037,281.50 = 1,037,281.50 : x
  2. Step 2: Convert to fraction form
    480,643.50/1,037,281.50 = 1,037,281.50/x
  3. Step 3: Cross multiply
    480,643.50x = 1,037,281.50 × 1,037,281.50
  4. Step 4: Simplify right side
    480,643.50x = 1,075,952,910,242.25
  5. Step 5: Solve for x
    x = 1,075,952,910,242.25/480,643.50
  6. Step 6: Final answer
    x = 2,238,567.48

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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.