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Finding the Third Proportional to 528,297 and 802,548

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Solution

The third proportional to 528,297 and 802,548 is: 1,219,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,297 : 802,548 = 802,548 : x
  2. Step 2: Convert to fraction form
    528,297/802,548 = 802,548/x
  3. Step 3: Cross multiply
    528,297x = 802,548 × 802,548
  4. Step 4: Simplify right side
    528,297x = 644,083,292,304
  5. Step 5: Solve for x
    x = 644,083,292,304/528,297
  6. Step 6: Final answer
    x = 1,219,168.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.