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Finding the Third Proportional to 358,688 and 570,832

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Solution

The third proportional to 358,688 and 570,832 is: 908,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,688 : 570,832 = 570,832 : x
  2. Step 2: Convert to fraction form
    358,688/570,832 = 570,832/x
  3. Step 3: Cross multiply
    358,688x = 570,832 × 570,832
  4. Step 4: Simplify right side
    358,688x = 325,849,172,224
  5. Step 5: Solve for x
    x = 325,849,172,224/358,688
  6. Step 6: Final answer
    x = 908,447.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.