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Finding the Third Proportional to 623,959 and 912,538.50

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Solution

The third proportional to 623,959 and 912,538.50 is: 1,334,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,959 : 912,538.50 = 912,538.50 : x
  2. Step 2: Convert to fraction form
    623,959/912,538.50 = 912,538.50/x
  3. Step 3: Cross multiply
    623,959x = 912,538.50 × 912,538.50
  4. Step 4: Simplify right side
    623,959x = 832,726,513,982.25
  5. Step 5: Solve for x
    x = 832,726,513,982.25/623,959
  6. Step 6: Final answer
    x = 1,334,585.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.