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Finding the Third Proportional to 316,768 and 683,044

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Solution

The third proportional to 316,768 and 683,044 is: 1,472,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,768 : 683,044 = 683,044 : x
  2. Step 2: Convert to fraction form
    316,768/683,044 = 683,044/x
  3. Step 3: Cross multiply
    316,768x = 683,044 × 683,044
  4. Step 4: Simplify right side
    316,768x = 466,549,105,936
  5. Step 5: Solve for x
    x = 466,549,105,936/316,768
  6. Step 6: Final answer
    x = 1,472,841.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.