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Finding the Third Proportional to 503,820 and 780,070.50

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Solution

The third proportional to 503,820 and 780,070.50 is: 1,207,792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,820 : 780,070.50 = 780,070.50 : x
  2. Step 2: Convert to fraction form
    503,820/780,070.50 = 780,070.50/x
  3. Step 3: Cross multiply
    503,820x = 780,070.50 × 780,070.50
  4. Step 4: Simplify right side
    503,820x = 608,509,984,970.25
  5. Step 5: Solve for x
    x = 608,509,984,970.25/503,820
  6. Step 6: Final answer
    x = 1,207,792.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.