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Finding the Third Proportional to 415,430 and 594,076

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Solution

The third proportional to 415,430 and 594,076 is: 849,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,430 : 594,076 = 594,076 : x
  2. Step 2: Convert to fraction form
    415,430/594,076 = 594,076/x
  3. Step 3: Cross multiply
    415,430x = 594,076 × 594,076
  4. Step 4: Simplify right side
    415,430x = 352,926,293,776
  5. Step 5: Solve for x
    x = 352,926,293,776/415,430
  6. Step 6: Final answer
    x = 849,544.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.