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Finding the Third Proportional to 581,218 and 785,030

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Solution

The third proportional to 581,218 and 785,030 is: 1,060,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,218 : 785,030 = 785,030 : x
  2. Step 2: Convert to fraction form
    581,218/785,030 = 785,030/x
  3. Step 3: Cross multiply
    581,218x = 785,030 × 785,030
  4. Step 4: Simplify right side
    581,218x = 616,272,100,900
  5. Step 5: Solve for x
    x = 616,272,100,900/581,218
  6. Step 6: Final answer
    x = 1,060,311.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.