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Finding the Third Proportional to 507,564 and 725,058

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Solution

The third proportional to 507,564 and 725,058 is: 1,035,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,564 : 725,058 = 725,058 : x
  2. Step 2: Convert to fraction form
    507,564/725,058 = 725,058/x
  3. Step 3: Cross multiply
    507,564x = 725,058 × 725,058
  4. Step 4: Simplify right side
    507,564x = 525,709,103,364
  5. Step 5: Solve for x
    x = 525,709,103,364/507,564
  6. Step 6: Final answer
    x = 1,035,749.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.