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Finding the Third Proportional to 654,369.50 and 977,646

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Solution

The third proportional to 654,369.50 and 977,646 is: 1,460,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,369.50 : 977,646 = 977,646 : x
  2. Step 2: Convert to fraction form
    654,369.50/977,646 = 977,646/x
  3. Step 3: Cross multiply
    654,369.50x = 977,646 × 977,646
  4. Step 4: Simplify right side
    654,369.50x = 955,791,701,316
  5. Step 5: Solve for x
    x = 955,791,701,316/654,369.50
  6. Step 6: Final answer
    x = 1,460,629.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.