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Finding the Third Proportional to 315,480 and 688,054.50

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Solution

The third proportional to 315,480 and 688,054.50 is: 1,500,630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480 : 688,054.50 = 688,054.50 : x
  2. Step 2: Convert to fraction form
    315,480/688,054.50 = 688,054.50/x
  3. Step 3: Cross multiply
    315,480x = 688,054.50 × 688,054.50
  4. Step 4: Simplify right side
    315,480x = 473,418,994,970.25
  5. Step 5: Solve for x
    x = 473,418,994,970.25/315,480
  6. Step 6: Final answer
    x = 1,500,630.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.