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Finding the Third Proportional to 390,646.50 and 829,273.50

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Solution

The third proportional to 390,646.50 and 829,273.50 is: 1,760,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,646.50 : 829,273.50 = 829,273.50 : x
  2. Step 2: Convert to fraction form
    390,646.50/829,273.50 = 829,273.50/x
  3. Step 3: Cross multiply
    390,646.50x = 829,273.50 × 829,273.50
  4. Step 4: Simplify right side
    390,646.50x = 687,694,537,802.25
  5. Step 5: Solve for x
    x = 687,694,537,802.25/390,646.50
  6. Step 6: Final answer
    x = 1,760,401.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.