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Finding the Third Proportional to 402,464 and 604,704

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Solution

The third proportional to 402,464 and 604,704 is: 908,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,464 : 604,704 = 604,704 : x
  2. Step 2: Convert to fraction form
    402,464/604,704 = 604,704/x
  3. Step 3: Cross multiply
    402,464x = 604,704 × 604,704
  4. Step 4: Simplify right side
    402,464x = 365,666,927,616
  5. Step 5: Solve for x
    x = 365,666,927,616/402,464
  6. Step 6: Final answer
    x = 908,570.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.