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Finding the Third Proportional to 458,088 and 692,154

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Solution

The third proportional to 458,088 and 692,154 is: 1,045,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,088 : 692,154 = 692,154 : x
  2. Step 2: Convert to fraction form
    458,088/692,154 = 692,154/x
  3. Step 3: Cross multiply
    458,088x = 692,154 × 692,154
  4. Step 4: Simplify right side
    458,088x = 479,077,159,716
  5. Step 5: Solve for x
    x = 479,077,159,716/458,088
  6. Step 6: Final answer
    x = 1,045,819.06

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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.