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Finding the Third Proportional to 430,065 and 683,113.50

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Solution

The third proportional to 430,065 and 683,113.50 is: 1,085,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,065 : 683,113.50 = 683,113.50 : x
  2. Step 2: Convert to fraction form
    430,065/683,113.50 = 683,113.50/x
  3. Step 3: Cross multiply
    430,065x = 683,113.50 × 683,113.50
  4. Step 4: Simplify right side
    430,065x = 466,644,053,882.25
  5. Step 5: Solve for x
    x = 466,644,053,882.25/430,065
  6. Step 6: Final answer
    x = 1,085,054.71

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.