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Finding the Third Proportional to 256,590 and 562,752

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Solution

The third proportional to 256,590 and 562,752 is: 1,234,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,590 : 562,752 = 562,752 : x
  2. Step 2: Convert to fraction form
    256,590/562,752 = 562,752/x
  3. Step 3: Cross multiply
    256,590x = 562,752 × 562,752
  4. Step 4: Simplify right side
    256,590x = 316,689,813,504
  5. Step 5: Solve for x
    x = 316,689,813,504/256,590
  6. Step 6: Final answer
    x = 1,234,225.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.