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Finding the Third Proportional to 349,024 and 553,558

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Solution

The third proportional to 349,024 and 553,558 is: 877,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,024 : 553,558 = 553,558 : x
  2. Step 2: Convert to fraction form
    349,024/553,558 = 553,558/x
  3. Step 3: Cross multiply
    349,024x = 553,558 × 553,558
  4. Step 4: Simplify right side
    349,024x = 306,426,459,364
  5. Step 5: Solve for x
    x = 306,426,459,364/349,024
  6. Step 6: Final answer
    x = 877,952.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.