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Finding the Third Proportional to 430,066.13 and 683,235

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Solution

The third proportional to 430,066.13 and 683,235 is: 1,085,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,066.13 : 683,235 = 683,235 : x
  2. Step 2: Convert to fraction form
    430,066.13/683,235 = 683,235/x
  3. Step 3: Cross multiply
    430,066.13x = 683,235 × 683,235
  4. Step 4: Simplify right side
    430,066.13x = 466,810,065,225
  5. Step 5: Solve for x
    x = 466,810,065,225/430,066.13
  6. Step 6: Final answer
    x = 1,085,437.89

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Why These Related Problems?

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