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Finding the Third Proportional to 402,904 and 604,358

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Solution

The third proportional to 402,904 and 604,358 is: 906,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,904 : 604,358 = 604,358 : x
  2. Step 2: Convert to fraction form
    402,904/604,358 = 604,358/x
  3. Step 3: Cross multiply
    402,904x = 604,358 × 604,358
  4. Step 4: Simplify right side
    402,904x = 365,248,592,164
  5. Step 5: Solve for x
    x = 365,248,592,164/402,904
  6. Step 6: Final answer
    x = 906,540.00

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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.