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Finding the Third Proportional to 458,088 and 713,307

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Solution

The third proportional to 458,088 and 713,307 is: 1,110,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,088 : 713,307 = 713,307 : x
  2. Step 2: Convert to fraction form
    458,088/713,307 = 713,307/x
  3. Step 3: Cross multiply
    458,088x = 713,307 × 713,307
  4. Step 4: Simplify right side
    458,088x = 508,806,876,249
  5. Step 5: Solve for x
    x = 508,806,876,249/458,088
  6. Step 6: Final answer
    x = 1,110,718.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.