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Finding the Third Proportional to 520,020 and 776,628

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Solution

The third proportional to 520,020 and 776,628 is: 1,159,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,020 : 776,628 = 776,628 : x
  2. Step 2: Convert to fraction form
    520,020/776,628 = 776,628/x
  3. Step 3: Cross multiply
    520,020x = 776,628 × 776,628
  4. Step 4: Simplify right side
    520,020x = 603,151,050,384
  5. Step 5: Solve for x
    x = 603,151,050,384/520,020
  6. Step 6: Final answer
    x = 1,159,861.26

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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.