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Finding the Third Proportional to 406,953 and 598,664.25

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Solution

The third proportional to 406,953 and 598,664.25 is: 880,688.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,953 : 598,664.25 = 598,664.25 : x
  2. Step 2: Convert to fraction form
    406,953/598,664.25 = 598,664.25/x
  3. Step 3: Cross multiply
    406,953x = 598,664.25 × 598,664.25
  4. Step 4: Simplify right side
    406,953x = 358,398,884,228.06
  5. Step 5: Solve for x
    x = 358,398,884,228.06/406,953
  6. Step 6: Final answer
    x = 880,688.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.