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Finding the Third Proportional to 356,656 and 535,056

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Solution

The third proportional to 356,656 and 535,056 is: 802,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,656 : 535,056 = 535,056 : x
  2. Step 2: Convert to fraction form
    356,656/535,056 = 535,056/x
  3. Step 3: Cross multiply
    356,656x = 535,056 × 535,056
  4. Step 4: Simplify right side
    356,656x = 286,284,923,136
  5. Step 5: Solve for x
    x = 286,284,923,136/356,656
  6. Step 6: Final answer
    x = 802,692.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.