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Finding the Third Proportional to 431,346 and 907,308

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Solution

The third proportional to 431,346 and 907,308 is: 1,908,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,346 : 907,308 = 907,308 : x
  2. Step 2: Convert to fraction form
    431,346/907,308 = 907,308/x
  3. Step 3: Cross multiply
    431,346x = 907,308 × 907,308
  4. Step 4: Simplify right side
    431,346x = 823,207,806,864
  5. Step 5: Solve for x
    x = 823,207,806,864/431,346
  6. Step 6: Final answer
    x = 1,908,462.83

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.