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Finding the Third Proportional to 610,881 and 803,307

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Solution

The third proportional to 610,881 and 803,307 is: 1,056,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,881 : 803,307 = 803,307 : x
  2. Step 2: Convert to fraction form
    610,881/803,307 = 803,307/x
  3. Step 3: Cross multiply
    610,881x = 803,307 × 803,307
  4. Step 4: Simplify right side
    610,881x = 645,302,136,249
  5. Step 5: Solve for x
    x = 645,302,136,249/610,881
  6. Step 6: Final answer
    x = 1,056,346.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.