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Finding the Third Proportional to 477,004 and 668,526

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Solution

The third proportional to 477,004 and 668,526 is: 936,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,004 : 668,526 = 668,526 : x
  2. Step 2: Convert to fraction form
    477,004/668,526 = 668,526/x
  3. Step 3: Cross multiply
    477,004x = 668,526 × 668,526
  4. Step 4: Simplify right side
    477,004x = 446,927,012,676
  5. Step 5: Solve for x
    x = 446,927,012,676/477,004
  6. Step 6: Final answer
    x = 936,946.05

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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.