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Finding the Third Proportional to 510,322.50 and 750,718.50

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Solution

The third proportional to 510,322.50 and 750,718.50 is: 1,104,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,322.50 : 750,718.50 = 750,718.50 : x
  2. Step 2: Convert to fraction form
    510,322.50/750,718.50 = 750,718.50/x
  3. Step 3: Cross multiply
    510,322.50x = 750,718.50 × 750,718.50
  4. Step 4: Simplify right side
    510,322.50x = 563,578,266,242.25
  5. Step 5: Solve for x
    x = 563,578,266,242.25/510,322.50
  6. Step 6: Final answer
    x = 1,104,357.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.