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Finding the Third Proportional to 590,816 and 893,264

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Solution

The third proportional to 590,816 and 893,264 is: 1,350,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,816 : 893,264 = 893,264 : x
  2. Step 2: Convert to fraction form
    590,816/893,264 = 893,264/x
  3. Step 3: Cross multiply
    590,816x = 893,264 × 893,264
  4. Step 4: Simplify right side
    590,816x = 797,920,573,696
  5. Step 5: Solve for x
    x = 797,920,573,696/590,816
  6. Step 6: Final answer
    x = 1,350,539.89

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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.