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Finding the Third Proportional to 326,426 and 692,038

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Solution

The third proportional to 326,426 and 692,038 is: 1,467,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,426 : 692,038 = 692,038 : x
  2. Step 2: Convert to fraction form
    326,426/692,038 = 692,038/x
  3. Step 3: Cross multiply
    326,426x = 692,038 × 692,038
  4. Step 4: Simplify right side
    326,426x = 478,916,593,444
  5. Step 5: Solve for x
    x = 478,916,593,444/326,426
  6. Step 6: Final answer
    x = 1,467,152.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.