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Finding the Third Proportional to 576,327 and 830,106

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Solution

The third proportional to 576,327 and 830,106 is: 1,195,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,327 : 830,106 = 830,106 : x
  2. Step 2: Convert to fraction form
    576,327/830,106 = 830,106/x
  3. Step 3: Cross multiply
    576,327x = 830,106 × 830,106
  4. Step 4: Simplify right side
    576,327x = 689,075,971,236
  5. Step 5: Solve for x
    x = 689,075,971,236/576,327
  6. Step 6: Final answer
    x = 1,195,633.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.