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Finding the Third Proportional to 355,785 and 569,046

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Solution

The third proportional to 355,785 and 569,046 is: 910,137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,785 : 569,046 = 569,046 : x
  2. Step 2: Convert to fraction form
    355,785/569,046 = 569,046/x
  3. Step 3: Cross multiply
    355,785x = 569,046 × 569,046
  4. Step 4: Simplify right side
    355,785x = 323,813,350,116
  5. Step 5: Solve for x
    x = 323,813,350,116/355,785
  6. Step 6: Final answer
    x = 910,137.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.