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Finding the Third Proportional to 796,253.63 and 1,732,468.50

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Solution

The third proportional to 796,253.63 and 1,732,468.50 is: 3,769,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,253.63 : 1,732,468.50 = 1,732,468.50 : x
  2. Step 2: Convert to fraction form
    796,253.63/1,732,468.50 = 1,732,468.50/x
  3. Step 3: Cross multiply
    796,253.63x = 1,732,468.50 × 1,732,468.50
  4. Step 4: Simplify right side
    796,253.63x = 3,001,447,103,492.25
  5. Step 5: Solve for x
    x = 3,001,447,103,492.25/796,253.63
  6. Step 6: Final answer
    x = 3,769,461.15

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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.