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Finding the Third Proportional to 261,594 and 404,973

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Solution

The third proportional to 261,594 and 404,973 is: 626,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,594 : 404,973 = 404,973 : x
  2. Step 2: Convert to fraction form
    261,594/404,973 = 404,973/x
  3. Step 3: Cross multiply
    261,594x = 404,973 × 404,973
  4. Step 4: Simplify right side
    261,594x = 164,003,130,729
  5. Step 5: Solve for x
    x = 164,003,130,729/261,594
  6. Step 6: Final answer
    x = 626,937.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.