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Finding the Third Proportional to 333,552 and 771,528

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Solution

The third proportional to 333,552 and 771,528 is: 1,784,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,552 : 771,528 = 771,528 : x
  2. Step 2: Convert to fraction form
    333,552/771,528 = 771,528/x
  3. Step 3: Cross multiply
    333,552x = 771,528 × 771,528
  4. Step 4: Simplify right side
    333,552x = 595,255,454,784
  5. Step 5: Solve for x
    x = 595,255,454,784/333,552
  6. Step 6: Final answer
    x = 1,784,595.67

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.