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Finding the Third Proportional to 289,359 and 634,744.50

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Solution

The third proportional to 289,359 and 634,744.50 is: 1,392,390.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,359 : 634,744.50 = 634,744.50 : x
  2. Step 2: Convert to fraction form
    289,359/634,744.50 = 634,744.50/x
  3. Step 3: Cross multiply
    289,359x = 634,744.50 × 634,744.50
  4. Step 4: Simplify right side
    289,359x = 402,900,580,280.25
  5. Step 5: Solve for x
    x = 402,900,580,280.25/289,359
  6. Step 6: Final answer
    x = 1,392,390.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.