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Finding the Third Proportional to 411,075.50 and 896,657

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Solution

The third proportional to 411,075.50 and 896,657 is: 1,955,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,075.50 : 896,657 = 896,657 : x
  2. Step 2: Convert to fraction form
    411,075.50/896,657 = 896,657/x
  3. Step 3: Cross multiply
    411,075.50x = 896,657 × 896,657
  4. Step 4: Simplify right side
    411,075.50x = 803,993,775,649
  5. Step 5: Solve for x
    x = 803,993,775,649/411,075.50
  6. Step 6: Final answer
    x = 1,955,829.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.