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Finding the Third Proportional to 411,539.50 and 898,490

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Solution

The third proportional to 411,539.50 and 898,490 is: 1,961,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,539.50 : 898,490 = 898,490 : x
  2. Step 2: Convert to fraction form
    411,539.50/898,490 = 898,490/x
  3. Step 3: Cross multiply
    411,539.50x = 898,490 × 898,490
  4. Step 4: Simplify right side
    411,539.50x = 807,284,280,100
  5. Step 5: Solve for x
    x = 807,284,280,100/411,539.50
  6. Step 6: Final answer
    x = 1,961,620.40

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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.