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Finding the Third Proportional to 580,752 and 897,264

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Solution

The third proportional to 580,752 and 897,264 is: 1,386,276.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,752 : 897,264 = 897,264 : x
  2. Step 2: Convert to fraction form
    580,752/897,264 = 897,264/x
  3. Step 3: Cross multiply
    580,752x = 897,264 × 897,264
  4. Step 4: Simplify right side
    580,752x = 805,082,685,696
  5. Step 5: Solve for x
    x = 805,082,685,696/580,752
  6. Step 6: Final answer
    x = 1,386,276.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.