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Finding the Third Proportional to 860,527.50 and 1,265,877

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Solution

The third proportional to 860,527.50 and 1,265,877 is: 1,862,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,527.50 : 1,265,877 = 1,265,877 : x
  2. Step 2: Convert to fraction form
    860,527.50/1,265,877 = 1,265,877/x
  3. Step 3: Cross multiply
    860,527.50x = 1,265,877 × 1,265,877
  4. Step 4: Simplify right side
    860,527.50x = 1,602,444,579,129
  5. Step 5: Solve for x
    x = 1,602,444,579,129/860,527.50
  6. Step 6: Final answer
    x = 1,862,165.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.