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Finding the Third Proportional to 583,136 and 952,208

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Solution

The third proportional to 583,136 and 952,208 is: 1,554,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,136 : 952,208 = 952,208 : x
  2. Step 2: Convert to fraction form
    583,136/952,208 = 952,208/x
  3. Step 3: Cross multiply
    583,136x = 952,208 × 952,208
  4. Step 4: Simplify right side
    583,136x = 906,700,075,264
  5. Step 5: Solve for x
    x = 906,700,075,264/583,136
  6. Step 6: Final answer
    x = 1,554,868.98

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.