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Finding the Third Proportional to 528,026 and 756,662

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Solution

The third proportional to 528,026 and 756,662 is: 1,084,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,026 : 756,662 = 756,662 : x
  2. Step 2: Convert to fraction form
    528,026/756,662 = 756,662/x
  3. Step 3: Cross multiply
    528,026x = 756,662 × 756,662
  4. Step 4: Simplify right side
    528,026x = 572,537,382,244
  5. Step 5: Solve for x
    x = 572,537,382,244/528,026
  6. Step 6: Final answer
    x = 1,084,297.71

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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.