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Finding the Third Proportional to 586,395.07 and 936,500.17

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Solution

The third proportional to 586,395.07 and 936,500.17 is: 1,495,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,395.07 : 936,500.17 = 936,500.17 : x
  2. Step 2: Convert to fraction form
    586,395.07/936,500.17 = 936,500.17/x
  3. Step 3: Cross multiply
    586,395.07x = 936,500.17 × 936,500.17
  4. Step 4: Simplify right side
    586,395.07x = 877,032,564,605.50
  5. Step 5: Solve for x
    x = 877,032,564,605.50/586,395.07
  6. Step 6: Final answer
    x = 1,495,634.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.