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Finding the Third Proportional to 390,552 and 589,996.50

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Solution

The third proportional to 390,552 and 589,996.50 is: 891,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,552 : 589,996.50 = 589,996.50 : x
  2. Step 2: Convert to fraction form
    390,552/589,996.50 = 589,996.50/x
  3. Step 3: Cross multiply
    390,552x = 589,996.50 × 589,996.50
  4. Step 4: Simplify right side
    390,552x = 348,095,870,012.25
  5. Step 5: Solve for x
    x = 348,095,870,012.25/390,552
  6. Step 6: Final answer
    x = 891,291.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.