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Finding the Third Proportional to 525,386 and 832,063

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Solution

The third proportional to 525,386 and 832,063 is: 1,317,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,386 : 832,063 = 832,063 : x
  2. Step 2: Convert to fraction form
    525,386/832,063 = 832,063/x
  3. Step 3: Cross multiply
    525,386x = 832,063 × 832,063
  4. Step 4: Simplify right side
    525,386x = 692,328,835,969
  5. Step 5: Solve for x
    x = 692,328,835,969/525,386
  6. Step 6: Final answer
    x = 1,317,752.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.