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Finding the Third Proportional to 608,364 and 917,460

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Solution

The third proportional to 608,364 and 917,460 is: 1,383,600.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,364 : 917,460 = 917,460 : x
  2. Step 2: Convert to fraction form
    608,364/917,460 = 917,460/x
  3. Step 3: Cross multiply
    608,364x = 917,460 × 917,460
  4. Step 4: Simplify right side
    608,364x = 841,732,851,600
  5. Step 5: Solve for x
    x = 841,732,851,600/608,364
  6. Step 6: Final answer
    x = 1,383,600.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.