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Finding the Third Proportional to 316,089 and 472,261.50

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Solution

The third proportional to 316,089 and 472,261.50 is: 705,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,089 : 472,261.50 = 472,261.50 : x
  2. Step 2: Convert to fraction form
    316,089/472,261.50 = 472,261.50/x
  3. Step 3: Cross multiply
    316,089x = 472,261.50 × 472,261.50
  4. Step 4: Simplify right side
    316,089x = 223,030,924,382.25
  5. Step 5: Solve for x
    x = 223,030,924,382.25/316,089
  6. Step 6: Final answer
    x = 705,595.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.