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Finding the Third Proportional to 335,312 and 722,896

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Solution

The third proportional to 335,312 and 722,896 is: 1,558,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,312 : 722,896 = 722,896 : x
  2. Step 2: Convert to fraction form
    335,312/722,896 = 722,896/x
  3. Step 3: Cross multiply
    335,312x = 722,896 × 722,896
  4. Step 4: Simplify right side
    335,312x = 522,578,626,816
  5. Step 5: Solve for x
    x = 522,578,626,816/335,312
  6. Step 6: Final answer
    x = 1,558,484.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.