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Finding the Third Proportional to 525,904 and 772,068

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Solution

The third proportional to 525,904 and 772,068 is: 1,133,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,904 : 772,068 = 772,068 : x
  2. Step 2: Convert to fraction form
    525,904/772,068 = 772,068/x
  3. Step 3: Cross multiply
    525,904x = 772,068 × 772,068
  4. Step 4: Simplify right side
    525,904x = 596,088,996,624
  5. Step 5: Solve for x
    x = 596,088,996,624/525,904
  6. Step 6: Final answer
    x = 1,133,455.91

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.