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Finding the Third Proportional to 528,534 and 816,129

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Solution

The third proportional to 528,534 and 816,129 is: 1,260,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,534 : 816,129 = 816,129 : x
  2. Step 2: Convert to fraction form
    528,534/816,129 = 816,129/x
  3. Step 3: Cross multiply
    528,534x = 816,129 × 816,129
  4. Step 4: Simplify right side
    528,534x = 666,066,544,641
  5. Step 5: Solve for x
    x = 666,066,544,641/528,534
  6. Step 6: Final answer
    x = 1,260,215.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.