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Finding the Third Proportional to 411,070.50 and 896,647.50

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Solution

The third proportional to 411,070.50 and 896,647.50 is: 1,955,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,070.50 : 896,647.50 = 896,647.50 : x
  2. Step 2: Convert to fraction form
    411,070.50/896,647.50 = 896,647.50/x
  3. Step 3: Cross multiply
    411,070.50x = 896,647.50 × 896,647.50
  4. Step 4: Simplify right side
    411,070.50x = 803,976,739,256.25
  5. Step 5: Solve for x
    x = 803,976,739,256.25/411,070.50
  6. Step 6: Final answer
    x = 1,955,812.30

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