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Finding the Third Proportional to 540,998.50 and 841,030

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Solution

The third proportional to 540,998.50 and 841,030 is: 1,307,455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,998.50 : 841,030 = 841,030 : x
  2. Step 2: Convert to fraction form
    540,998.50/841,030 = 841,030/x
  3. Step 3: Cross multiply
    540,998.50x = 841,030 × 841,030
  4. Step 4: Simplify right side
    540,998.50x = 707,331,460,900
  5. Step 5: Solve for x
    x = 707,331,460,900/540,998.50
  6. Step 6: Final answer
    x = 1,307,455.49

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Why These Related Problems?

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