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Finding the Third Proportional to 616,752 and 705,325.50

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Solution

The third proportional to 616,752 and 705,325.50 is: 806,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,752 : 705,325.50 = 705,325.50 : x
  2. Step 2: Convert to fraction form
    616,752/705,325.50 = 705,325.50/x
  3. Step 3: Cross multiply
    616,752x = 705,325.50 × 705,325.50
  4. Step 4: Simplify right side
    616,752x = 497,484,060,950.25
  5. Step 5: Solve for x
    x = 497,484,060,950.25/616,752
  6. Step 6: Final answer
    x = 806,619.29

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.