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Finding the Third Proportional to 373,590 and 583,713

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Solution

The third proportional to 373,590 and 583,713 is: 912,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,590 : 583,713 = 583,713 : x
  2. Step 2: Convert to fraction form
    373,590/583,713 = 583,713/x
  3. Step 3: Cross multiply
    373,590x = 583,713 × 583,713
  4. Step 4: Simplify right side
    373,590x = 340,720,866,369
  5. Step 5: Solve for x
    x = 340,720,866,369/373,590
  6. Step 6: Final answer
    x = 912,018.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.