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Finding the Third Proportional to 586,918.50 and 786,154.50

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Solution

The third proportional to 586,918.50 and 786,154.50 is: 1,053,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,918.50 : 786,154.50 = 786,154.50 : x
  2. Step 2: Convert to fraction form
    586,918.50/786,154.50 = 786,154.50/x
  3. Step 3: Cross multiply
    586,918.50x = 786,154.50 × 786,154.50
  4. Step 4: Simplify right side
    586,918.50x = 618,038,897,870.25
  5. Step 5: Solve for x
    x = 618,038,897,870.25/586,918.50
  6. Step 6: Final answer
    x = 1,053,023.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.