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Finding the Third Proportional to 415,068 and 608,830

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Solution

The third proportional to 415,068 and 608,830 is: 893,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,068 : 608,830 = 608,830 : x
  2. Step 2: Convert to fraction form
    415,068/608,830 = 608,830/x
  3. Step 3: Cross multiply
    415,068x = 608,830 × 608,830
  4. Step 4: Simplify right side
    415,068x = 370,673,968,900
  5. Step 5: Solve for x
    x = 370,673,968,900/415,068
  6. Step 6: Final answer
    x = 893,043.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.