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Finding the Third Proportional to 591,133.50 and 917,196

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Solution

The third proportional to 591,133.50 and 917,196 is: 1,423,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,133.50 : 917,196 = 917,196 : x
  2. Step 2: Convert to fraction form
    591,133.50/917,196 = 917,196/x
  3. Step 3: Cross multiply
    591,133.50x = 917,196 × 917,196
  4. Step 4: Simplify right side
    591,133.50x = 841,248,502,416
  5. Step 5: Solve for x
    x = 841,248,502,416/591,133.50
  6. Step 6: Final answer
    x = 1,423,110.86

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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.