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Finding the Third Proportional to 249,628 and 538,618

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Solution

The third proportional to 249,628 and 538,618 is: 1,162,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,628 : 538,618 = 538,618 : x
  2. Step 2: Convert to fraction form
    249,628/538,618 = 538,618/x
  3. Step 3: Cross multiply
    249,628x = 538,618 × 538,618
  4. Step 4: Simplify right side
    249,628x = 290,109,349,924
  5. Step 5: Solve for x
    x = 290,109,349,924/249,628
  6. Step 6: Final answer
    x = 1,162,166.70

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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.