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Finding the Third Proportional to 528,025 and 756,663

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Solution

The third proportional to 528,025 and 756,663 is: 1,084,302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,025 : 756,663 = 756,663 : x
  2. Step 2: Convert to fraction form
    528,025/756,663 = 756,663/x
  3. Step 3: Cross multiply
    528,025x = 756,663 × 756,663
  4. Step 4: Simplify right side
    528,025x = 572,538,895,569
  5. Step 5: Solve for x
    x = 572,538,895,569/528,025
  6. Step 6: Final answer
    x = 1,084,302.63

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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.