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Finding the Third Proportional to 261,707 and 571,030

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Solution

The third proportional to 261,707 and 571,030 is: 1,245,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,707 : 571,030 = 571,030 : x
  2. Step 2: Convert to fraction form
    261,707/571,030 = 571,030/x
  3. Step 3: Cross multiply
    261,707x = 571,030 × 571,030
  4. Step 4: Simplify right side
    261,707x = 326,075,260,900
  5. Step 5: Solve for x
    x = 326,075,260,900/261,707
  6. Step 6: Final answer
    x = 1,245,955.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.