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Finding the Third Proportional to 287,409 and 435,090

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Solution

The third proportional to 287,409 and 435,090 is: 658,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,409 : 435,090 = 435,090 : x
  2. Step 2: Convert to fraction form
    287,409/435,090 = 435,090/x
  3. Step 3: Cross multiply
    287,409x = 435,090 × 435,090
  4. Step 4: Simplify right side
    287,409x = 189,303,308,100
  5. Step 5: Solve for x
    x = 189,303,308,100/287,409
  6. Step 6: Final answer
    x = 658,654.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.