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Finding the Third Proportional to 504,897 and 776,005.75

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Solution

The third proportional to 504,897 and 776,005.75 is: 1,192,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,897 : 776,005.75 = 776,005.75 : x
  2. Step 2: Convert to fraction form
    504,897/776,005.75 = 776,005.75/x
  3. Step 3: Cross multiply
    504,897x = 776,005.75 × 776,005.75
  4. Step 4: Simplify right side
    504,897x = 602,184,924,033.06
  5. Step 5: Solve for x
    x = 602,184,924,033.06/504,897
  6. Step 6: Final answer
    x = 1,192,688.66

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.