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Finding the Third Proportional to 374,069 and 565,032

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Solution

The third proportional to 374,069 and 565,032 is: 853,482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,069 : 565,032 = 565,032 : x
  2. Step 2: Convert to fraction form
    374,069/565,032 = 565,032/x
  3. Step 3: Cross multiply
    374,069x = 565,032 × 565,032
  4. Step 4: Simplify right side
    374,069x = 319,261,161,024
  5. Step 5: Solve for x
    x = 319,261,161,024/374,069
  6. Step 6: Final answer
    x = 853,482.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.