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Finding the Third Proportional to 374,146 and 570,559

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Solution

The third proportional to 374,146 and 570,559 is: 870,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,146 : 570,559 = 570,559 : x
  2. Step 2: Convert to fraction form
    374,146/570,559 = 570,559/x
  3. Step 3: Cross multiply
    374,146x = 570,559 × 570,559
  4. Step 4: Simplify right side
    374,146x = 325,537,572,481
  5. Step 5: Solve for x
    x = 325,537,572,481/374,146
  6. Step 6: Final answer
    x = 870,081.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.