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Finding the Third Proportional to 522,075 and 830,730

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Solution

The third proportional to 522,075 and 830,730 is: 1,321,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,075 : 830,730 = 830,730 : x
  2. Step 2: Convert to fraction form
    522,075/830,730 = 830,730/x
  3. Step 3: Cross multiply
    522,075x = 830,730 × 830,730
  4. Step 4: Simplify right side
    522,075x = 690,112,332,900
  5. Step 5: Solve for x
    x = 690,112,332,900/522,075
  6. Step 6: Final answer
    x = 1,321,864.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.