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Finding the Third Proportional to 301,924 and 455,946

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Solution

The third proportional to 301,924 and 455,946 is: 688,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,924 : 455,946 = 455,946 : x
  2. Step 2: Convert to fraction form
    301,924/455,946 = 455,946/x
  3. Step 3: Cross multiply
    301,924x = 455,946 × 455,946
  4. Step 4: Simplify right side
    301,924x = 207,886,754,916
  5. Step 5: Solve for x
    x = 207,886,754,916/301,924
  6. Step 6: Final answer
    x = 688,540.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.