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Finding the Third Proportional to 520,088 and 776,700

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Solution

The third proportional to 520,088 and 776,700 is: 1,159,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,088 : 776,700 = 776,700 : x
  2. Step 2: Convert to fraction form
    520,088/776,700 = 776,700/x
  3. Step 3: Cross multiply
    520,088x = 776,700 × 776,700
  4. Step 4: Simplify right side
    520,088x = 603,262,890,000
  5. Step 5: Solve for x
    x = 603,262,890,000/520,088
  6. Step 6: Final answer
    x = 1,159,924.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.