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Finding the Third Proportional to 578,004 and 920,516

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Solution

The third proportional to 578,004 and 920,516 is: 1,465,992.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,004 : 920,516 = 920,516 : x
  2. Step 2: Convert to fraction form
    578,004/920,516 = 920,516/x
  3. Step 3: Cross multiply
    578,004x = 920,516 × 920,516
  4. Step 4: Simplify right side
    578,004x = 847,349,706,256
  5. Step 5: Solve for x
    x = 847,349,706,256/578,004
  6. Step 6: Final answer
    x = 1,465,992.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.