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Finding the Third Proportional to 403,570 and 565,594

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Solution

The third proportional to 403,570 and 565,594 is: 792,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,570 : 565,594 = 565,594 : x
  2. Step 2: Convert to fraction form
    403,570/565,594 = 565,594/x
  3. Step 3: Cross multiply
    403,570x = 565,594 × 565,594
  4. Step 4: Simplify right side
    403,570x = 319,896,572,836
  5. Step 5: Solve for x
    x = 319,896,572,836/403,570
  6. Step 6: Final answer
    x = 792,666.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.