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Finding the Third Proportional to 358,664 and 549,523

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Solution

The third proportional to 358,664 and 549,523 is: 841,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,664 : 549,523 = 549,523 : x
  2. Step 2: Convert to fraction form
    358,664/549,523 = 549,523/x
  3. Step 3: Cross multiply
    358,664x = 549,523 × 549,523
  4. Step 4: Simplify right side
    358,664x = 301,975,527,529
  5. Step 5: Solve for x
    x = 301,975,527,529/358,664
  6. Step 6: Final answer
    x = 841,945.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.