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Finding the Third Proportional to 282,130.50 and 608,547

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Solution

The third proportional to 282,130.50 and 608,547 is: 1,312,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,130.50 : 608,547 = 608,547 : x
  2. Step 2: Convert to fraction form
    282,130.50/608,547 = 608,547/x
  3. Step 3: Cross multiply
    282,130.50x = 608,547 × 608,547
  4. Step 4: Simplify right side
    282,130.50x = 370,329,451,209
  5. Step 5: Solve for x
    x = 370,329,451,209/282,130.50
  6. Step 6: Final answer
    x = 1,312,617.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.