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Finding the Third Proportional to 355,920.75 and 549,595.13

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Solution

The third proportional to 355,920.75 and 549,595.13 is: 848,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,920.75 : 549,595.13 = 549,595.13 : x
  2. Step 2: Convert to fraction form
    355,920.75/549,595.13 = 549,595.13/x
  3. Step 3: Cross multiply
    355,920.75x = 549,595.13 × 549,595.13
  4. Step 4: Simplify right side
    355,920.75x = 302,054,801,423.77
  5. Step 5: Solve for x
    x = 302,054,801,423.77/355,920.75
  6. Step 6: Final answer
    x = 848,657.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.