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Finding the Third Proportional to 294,294 and 455,598

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Solution

The third proportional to 294,294 and 455,598 is: 705,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,294 : 455,598 = 455,598 : x
  2. Step 2: Convert to fraction form
    294,294/455,598 = 455,598/x
  3. Step 3: Cross multiply
    294,294x = 455,598 × 455,598
  4. Step 4: Simplify right side
    294,294x = 207,569,537,604
  5. Step 5: Solve for x
    x = 207,569,537,604/294,294
  6. Step 6: Final answer
    x = 705,313.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.