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Finding the Third Proportional to 583,681 and 838,657.50

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Solution

The third proportional to 583,681 and 838,657.50 is: 1,205,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,681 : 838,657.50 = 838,657.50 : x
  2. Step 2: Convert to fraction form
    583,681/838,657.50 = 838,657.50/x
  3. Step 3: Cross multiply
    583,681x = 838,657.50 × 838,657.50
  4. Step 4: Simplify right side
    583,681x = 703,346,402,306.25
  5. Step 5: Solve for x
    x = 703,346,402,306.25/583,681
  6. Step 6: Final answer
    x = 1,205,018.50

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.