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Finding the Third Proportional to 534,264 and 832,032

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Solution

The third proportional to 534,264 and 832,032 is: 1,295,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,264 : 832,032 = 832,032 : x
  2. Step 2: Convert to fraction form
    534,264/832,032 = 832,032/x
  3. Step 3: Cross multiply
    534,264x = 832,032 × 832,032
  4. Step 4: Simplify right side
    534,264x = 692,277,249,024
  5. Step 5: Solve for x
    x = 692,277,249,024/534,264
  6. Step 6: Final answer
    x = 1,295,758.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.