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Finding the Third Proportional to 583,173 and 912,849.75

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Solution

The third proportional to 583,173 and 912,849.75 is: 1,428,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,173 : 912,849.75 = 912,849.75 : x
  2. Step 2: Convert to fraction form
    583,173/912,849.75 = 912,849.75/x
  3. Step 3: Cross multiply
    583,173x = 912,849.75 × 912,849.75
  4. Step 4: Simplify right side
    583,173x = 833,294,666,075.06
  5. Step 5: Solve for x
    x = 833,294,666,075.06/583,173
  6. Step 6: Final answer
    x = 1,428,897.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.