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Finding the Third Proportional to 434,499 and 908,724

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Solution

The third proportional to 434,499 and 908,724 is: 1,900,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,499 : 908,724 = 908,724 : x
  2. Step 2: Convert to fraction form
    434,499/908,724 = 908,724/x
  3. Step 3: Cross multiply
    434,499x = 908,724 × 908,724
  4. Step 4: Simplify right side
    434,499x = 825,779,308,176
  5. Step 5: Solve for x
    x = 825,779,308,176/434,499
  6. Step 6: Final answer
    x = 1,900,532.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.