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Finding the Third Proportional to 616,279.50 and 977,877

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Solution

The third proportional to 616,279.50 and 977,877 is: 1,551,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,279.50 : 977,877 = 977,877 : x
  2. Step 2: Convert to fraction form
    616,279.50/977,877 = 977,877/x
  3. Step 3: Cross multiply
    616,279.50x = 977,877 × 977,877
  4. Step 4: Simplify right side
    616,279.50x = 956,243,427,129
  5. Step 5: Solve for x
    x = 956,243,427,129/616,279.50
  6. Step 6: Final answer
    x = 1,551,639.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.