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Finding the Third Proportional to 549,306 and 850,095

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Solution

The third proportional to 549,306 and 850,095 is: 1,315,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,306 : 850,095 = 850,095 : x
  2. Step 2: Convert to fraction form
    549,306/850,095 = 850,095/x
  3. Step 3: Cross multiply
    549,306x = 850,095 × 850,095
  4. Step 4: Simplify right side
    549,306x = 722,661,509,025
  5. Step 5: Solve for x
    x = 722,661,509,025/549,306
  6. Step 6: Final answer
    x = 1,315,590.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.