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Finding the Third Proportional to 528,295 and 802,545

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Solution

The third proportional to 528,295 and 802,545 is: 1,219,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,295 : 802,545 = 802,545 : x
  2. Step 2: Convert to fraction form
    528,295/802,545 = 802,545/x
  3. Step 3: Cross multiply
    528,295x = 802,545 × 802,545
  4. Step 4: Simplify right side
    528,295x = 644,078,477,025
  5. Step 5: Solve for x
    x = 644,078,477,025/528,295
  6. Step 6: Final answer
    x = 1,219,164.44

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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.