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Finding the Third Proportional to 415,426 and 594,070

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Solution

The third proportional to 415,426 and 594,070 is: 849,535.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,426 : 594,070 = 594,070 : x
  2. Step 2: Convert to fraction form
    415,426/594,070 = 594,070/x
  3. Step 3: Cross multiply
    415,426x = 594,070 × 594,070
  4. Step 4: Simplify right side
    415,426x = 352,919,164,900
  5. Step 5: Solve for x
    x = 352,919,164,900/415,426
  6. Step 6: Final answer
    x = 849,535.57

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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.