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Finding the Third Proportional to 528,841 and 805,658

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Solution

The third proportional to 528,841 and 805,658 is: 1,227,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,841 : 805,658 = 805,658 : x
  2. Step 2: Convert to fraction form
    528,841/805,658 = 805,658/x
  3. Step 3: Cross multiply
    528,841x = 805,658 × 805,658
  4. Step 4: Simplify right side
    528,841x = 649,084,812,964
  5. Step 5: Solve for x
    x = 649,084,812,964/528,841
  6. Step 6: Final answer
    x = 1,227,372.33

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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.