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Finding the Third Proportional to 561,246 and 758,487

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Solution

The third proportional to 561,246 and 758,487 is: 1,025,045.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,246 : 758,487 = 758,487 : x
  2. Step 2: Convert to fraction form
    561,246/758,487 = 758,487/x
  3. Step 3: Cross multiply
    561,246x = 758,487 × 758,487
  4. Step 4: Simplify right side
    561,246x = 575,302,529,169
  5. Step 5: Solve for x
    x = 575,302,529,169/561,246
  6. Step 6: Final answer
    x = 1,025,045.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.