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Finding the Third Proportional to 349,818 and 553,050

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Solution

The third proportional to 349,818 and 553,050 is: 874,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,818 : 553,050 = 553,050 : x
  2. Step 2: Convert to fraction form
    349,818/553,050 = 553,050/x
  3. Step 3: Cross multiply
    349,818x = 553,050 × 553,050
  4. Step 4: Simplify right side
    349,818x = 305,864,302,500
  5. Step 5: Solve for x
    x = 305,864,302,500/349,818
  6. Step 6: Final answer
    x = 874,352.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.